Deck 11: Infinite Sequences and Series

ملء الشاشة (f)
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سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 5, 0, -5, -10, -15 B) 5, -25, 125, -625, 3125 C) -5, 5, -5, 5, -5 D) 5, -5, 5, -5, 5 <div style=padding-top: 35px>

A) 5, 0, -5, -10, -15
B) 5, -25, 125, -625, 3125
C) -5, 5, -5, 5, -5
D) 5, -5, 5, -5, 5
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سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, -2, 3, -4, 5 B) 1, -1, 2, -3, 5 C) 1, 2, 1, 0, -1 D) 1, 2, 1, -1, -2 <div style=padding-top: 35px>

A) 1, -2, 3, -4, 5
B) 1, -1, 2, -3, 5
C) 1, 2, 1, 0, -1
D) 1, 2, 1, -1, -2
سؤال
Write the first four elements of the sequence.
Write the first four elements of the sequence.  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 1, 1, 1, 1 B) 1, 2, 4, 8, 16, 32 C) 1, 2, 4, 8, 16 D) 1, 3, 5, 7, 9 <div style=padding-top: 35px>

A) 1, 1, 1, 1, 1
B) 1, 2, 4, 8, 16, 32
C) 1, 2, 4, 8, 16
D) 1, 3, 5, 7, 9
سؤال
Find a formula for the nth term of the sequence.
5, 6, 7, 8, 9 (integers beginning with 5) Find a formula for the nth term of the sequence. 5, 6, 7, 8, 9 (integers beginning with 5)  <div style=padding-top: 35px>
سؤال
Write the first four elements of the sequence.
Write the first four elements of the sequence.  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 2, -2, -2, 2, 2 B) 2, -2, 2, -2, 2 C) -2, 2, -2, 2, -2 D) 2, 2, -2, -2, 2 <div style=padding-top: 35px>

A) 2, -2, -2, 2, 2
B) 2, -2, 2, -2, 2
C) -2, 2, -2, 2, -2
D) 2, 2, -2, -2, 2
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 1, 2, 3, 5 B) 1, 5, 6, 7, 8 C) 1, 5, 6, 12, 18 D) 1, 5, 6, 11, 17 <div style=padding-top: 35px>

A) 1, 1, 2, 3, 5
B) 1, 5, 6, 7, 8
C) 1, 5, 6, 12, 18
D) 1, 5, 6, 11, 17
سؤال
Write the first four elements of the sequence.
<strong>Write the first four elements of the sequence.  </strong> A) 0, 0, 0, 0 B) 1, 1, 1, 1 C) 0, 1, 0, -1 D) 1, 0, -1, 0 <div style=padding-top: 35px>

A) 0, 0, 0, 0
B) 1, 1, 1, 1
C) 0, 1, 0, -1
D) 1, 0, -1, 0
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
-5, -4, -3, -2, -1 (integers beginning with -5) Find a formula for the nth term of the sequence. -5, -4, -3, -2, -1 (integers beginning with -5)  <div style=padding-top: 35px>
سؤال
Write the first four elements of the sequence.
Write the first four elements of the sequence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
Find a formula for the nth term of the sequence.  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 5, 25, 125, 625 B) 1, 6, 11, 16, 21 C) 5, 6, 7, 8, 9 D) 5, 25, 125, 625, 3125 <div style=padding-top: 35px>

A) 1, 5, 25, 125, 625
B) 1, 6, 11, 16, 21
C) 5, 6, 7, 8, 9
D) 5, 25, 125, 625, 3125
سؤال
Find a formula for the nth term of the sequence.
, , , 10, 12 (every other integer starting with ) Find a formula for the nth term of the sequence. , , , 10, 12 (every other integer starting with )  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
6, -6, 6, -6, 6 (6's with alternating signs) Find a formula for the nth term of the sequence. 6, -6, 6, -6, 6 (6's with alternating signs)  <div style=padding-top: 35px>
سؤال
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 6, 11, 16, 21, 26 B) 1, 6, 11, 16, 21 C) 1, 6, 11, 16, 21, 26 D) 1, 5, 25, 125, 625, 3125 <div style=padding-top: 35px>

A) 6, 11, 16, 21, 26
B) 1, 6, 11, 16, 21
C) 1, 6, 11, 16, 21, 26
D) 1, 5, 25, 125, 625, 3125
سؤال
Write the first four elements of the sequence.
Write the first four elements of the sequence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
Find a formula for the nth term of the sequence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
0, -1, 0, 1, 0, -1, 0, 1 (0, -1, 0, 1 repeated) Find a formula for the nth term of the sequence. 0, -1, 0, 1, 0, -1, 0, 1 (0, -1, 0, 1 repeated)  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 1 B) ln 9 C) 0 D) Diverges <div style=padding-top: 35px>

A) 1
B) ln 9
C) 0
D) Diverges
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 0 B) 3 C) 1 D) Diverges <div style=padding-top: 35px>

A) 0
B) 3
C) 1
D) Diverges
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) ln 2 B) 1 C) 0 D) Diverges <div style=padding-top: 35px>

A) ln 2
B) 1
C) 0
D) Diverges
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find a formula for the nth term of the sequence.
0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs) Find a formula for the nth term of the sequence. 0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 0 B) ln 1 C) 1 D) Diverges <div style=padding-top: 35px>

A) 0
B) ln 1
C) 1
D) Diverges
سؤال
Find a formula for the nth term of the sequence.
0, 2, 2, 2, 0, 2, 2, 2 (0, 2, 2, 2 repeated) Find a formula for the nth term of the sequence. 0, 2, 2, 2, 0, 2, 2, 2 (0, 2, 2, 2 repeated)  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 6 B) 1 C) 0 D) Diverges <div style=padding-top: 35px>

A) 6
B) 1
C) 0
D) Diverges
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 5 B) 4 C) 4.3 D) Diverges <div style=padding-top: 35px>

A) 5
B) 4
C) 4.3
D) Diverges
سؤال
Find a formula for the nth term of the sequence.
0, 2, 0, 2, 0 (alternating 0's and 2's) Find a formula for the nth term of the sequence. 0, 2, 0, 2, 0 (alternating 0's and 2's)  <div style=padding-top: 35px>
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; unbounded B) nondecreasing; bounded C) decreasing; bounded D) increasing; unbounded <div style=padding-top: 35px>

A) not monotonic; unbounded
B) nondecreasing; bounded
C) decreasing; bounded
D) increasing; unbounded
سؤال
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) -3 B) -9 C) 4 D) 8 <div style=padding-top: 35px>

A) -3
B) -9
C) 4
D) 8
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nonincreasing; unbounded B) not monotonic; unbounded C) nondecreasing; bounded D) nondecreasing; unbounded <div style=padding-top: 35px>

A) nonincreasing; unbounded
B) not monotonic; unbounded
C) nondecreasing; bounded
D) nondecreasing; unbounded
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nondecreasing; bounded B) decreasing; bounded C) increasing; unbounded D) not monotonic; bounded <div style=padding-top: 35px>

A) nondecreasing; bounded
B) decreasing; bounded
C) increasing; unbounded
D) not monotonic; bounded
سؤال
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges <div style=padding-top: 35px>

A) Converges
B) Diverges
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) decreasing; unbounded B) not monotonic; bounded C) increasing; bounded D) nonincreasing; bounded <div style=padding-top: 35px>

A) decreasing; unbounded
B) not monotonic; bounded
C) increasing; bounded
D) nonincreasing; bounded
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 1 B) 5 C) 0 D) Diverges <div style=padding-top: 35px>

A) 1
B) 5
C) 0
D) Diverges
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) decreasing; unbounded B) nondecreasing; bounded C) not monotonic; unbounded D) nondecreasing; unbounded <div style=padding-top: 35px>

A) decreasing; unbounded
B) nondecreasing; bounded
C) not monotonic; unbounded
D) nondecreasing; unbounded
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; bounded B) nondecreasing; bounded C) decreasing; bounded D) decreasing; unbounded <div style=padding-top: 35px>

A) not monotonic; bounded
B) nondecreasing; bounded
C) decreasing; bounded
D) decreasing; unbounded
سؤال
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges <div style=padding-top: 35px>

A) Converges
B) Diverges
سؤال
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges <div style=padding-top: 35px>

A) Converges
B) Diverges
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; unbounded B) nondecreasing; bounded C) nondecreasing; unbounded D) increasing; bounded <div style=padding-top: 35px>

A) not monotonic; unbounded
B) nondecreasing; bounded
C) nondecreasing; unbounded
D) increasing; bounded
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) 5 B) -5 C) 1 D) 25 <div style=padding-top: 35px>

A) 5
B) -5
C) 1
D) 25
سؤال
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nondecreasing; bounded B) not monotonic; bounded C) increasing; unbounded D) decreasing; bounded <div style=padding-top: 35px>

A) nondecreasing; bounded
B) not monotonic; bounded
C) increasing; unbounded
D) decreasing; bounded
سؤال
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Diverges B) Converges <div style=padding-top: 35px>

A) Diverges
B) Converges
سؤال
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) 5 B) 6 C) 7 D) 8 <div style=padding-top: 35px>

A) 5
B) 6
C) 7
D) 8
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 6 B) ln 6 C) 0 D) Diverges <div style=padding-top: 35px>

A) 6
B) ln 6
C) 0
D) Diverges
سؤال
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.  <div style=padding-top: 35px>
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 16 B) 15 C) 14 D) 13 <div style=padding-top: 35px>

A) 16
B) 15
C) 14
D) 13
سؤال
<strong>   </strong> A) L = ln 2, N = 6 B) L = 0, N = 7 C) L = ln 4, N = 8 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = ln 2, N = 6 B) L = 0, N = 7 C) L = ln 4, N = 8 D) diverges <div style=padding-top: 35px>

A) L = ln 2, N = 6
B) L = 0, N = 7
C) L = ln 4, N = 8
D) diverges
سؤال
<strong>   </strong> A) L = 1, N = 28 B) L = 1, N = 6 C) L = 0, N = 28 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = 1, N = 28 B) L = 1, N = 6 C) L = 0, N = 28 D) diverges <div style=padding-top: 35px>

A) L = 1, N = 28
B) L = 1, N = 6
C) L = 0, N = 28
D) diverges
سؤال
<strong>   </strong> A) L = 1, N = 738 B) L = 1, N = 1549 C) L = 0, N = 1549 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = 1, N = 738 B) L = 1, N = 1549 C) L = 0, N = 1549 D) diverges <div style=padding-top: 35px>

A) L = 1, N = 738
B) L = 1, N = 1549
C) L = 0, N = 1549
D) diverges
سؤال
<strong>   </strong> A) L = ln 2, N = 6 B) L = ln 4, N = 8 C) L = 0, N = 8 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = ln 2, N = 6 B) L = ln 4, N = 8 C) L = 0, N = 8 D) diverges <div style=padding-top: 35px>

A) L = ln 2, N = 6
B) L = ln 4, N = 8
C) L = 0, N = 8
D) diverges
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 25 B) 23 C) 27 D) 20 <div style=padding-top: 35px>

A) 25
B) 23
C) 27
D) 20
سؤال
   <div style=padding-top: 35px>
   <div style=padding-top: 35px>
سؤال
Provide an appropriate response.
<strong>Provide an appropriate response.  </strong> A) 49 B) 50 C) 2 D) 3 <div style=padding-top: 35px>

A) 49
B) 50
C) 2
D) 3
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 9883 B) 9891 C) 9899 D) 9907 <div style=padding-top: 35px>

A) 9883
B) 9891
C) 9899
D) 9907
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 750 B) 731 C) 733 D) 737 <div style=padding-top: 35px>

A) 750
B) 731
C) 733
D) 737
سؤال
<strong>   </strong> A) L = 0, N = 37 B) L = 1, N = 28 C) L = 0, N = 28 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = 0, N = 37 B) L = 1, N = 28 C) L = 0, N = 28 D) diverges <div style=padding-top: 35px>

A) L = 0, N = 37
B) L = 1, N = 28
C) L = 0, N = 28
D) diverges
سؤال
Provide an appropriate response.
Provide an appropriate response.  <div style=padding-top: 35px>
سؤال
<strong>   </strong> A) L = 0, N = 13 B) L = 0, N = 10 C) L = 0, N = 8 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = 0, N = 13 B) L = 0, N = 10 C) L = 0, N = 8 D) diverges <div style=padding-top: 35px>

A) L = 0, N = 13
B) L = 0, N = 10
C) L = 0, N = 8
D) diverges
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 17 B) 20 C) 18 D) 19 <div style=padding-top: 35px>

A) 17
B) 20
C) 18
D) 19
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 21 B) 31 C) 20 D) 30 <div style=padding-top: 35px>

A) 21
B) 31
C) 20
D) 30
سؤال
<strong>   </strong> A) L = 1, N = 394 B) L = 0, N = 237 C) L = 0, N = 394 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = 1, N = 394 B) L = 0, N = 237 C) L = 0, N = 394 D) diverges <div style=padding-top: 35px>

A) L = 1, N = 394
B) L = 0, N = 237
C) L = 0, N = 394
D) diverges
سؤال
<strong>   </strong> A) L = ln 2, N = 394 B) L = 1, N = 394 C) L = 1, N = 652 D) diverges <div style=padding-top: 35px>
<strong>   </strong> A) L = ln 2, N = 394 B) L = 1, N = 394 C) L = 1, N = 652 D) diverges <div style=padding-top: 35px>

A) L = ln 2, N = 394
B) L = 1, N = 394
C) L = 1, N = 652
D) diverges
سؤال
   <div style=padding-top: 35px>
   <div style=padding-top: 35px>
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 16 B) 15 C) 17 D) 18 <div style=padding-top: 35px>

A) 16
B) 15
C) 17
D) 18
سؤال
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 2302 B) 2305 C) 2300 D) 2298 <div style=padding-top: 35px>

A) 2302
B) 2305
C) 2300
D) 2298
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Deck 11: Infinite Sequences and Series
1
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 5, 0, -5, -10, -15 B) 5, -25, 125, -625, 3125 C) -5, 5, -5, 5, -5 D) 5, -5, 5, -5, 5

A) 5, 0, -5, -10, -15
B) 5, -25, 125, -625, 3125
C) -5, 5, -5, 5, -5
D) 5, -5, 5, -5, 5
D
2
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
C
3
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, -2, 3, -4, 5 B) 1, -1, 2, -3, 5 C) 1, 2, 1, 0, -1 D) 1, 2, 1, -1, -2

A) 1, -2, 3, -4, 5
B) 1, -1, 2, -3, 5
C) 1, 2, 1, 0, -1
D) 1, 2, 1, -1, -2
D
4
Write the first four elements of the sequence.
Write the first four elements of the sequence.
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5
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 1, 1, 1, 1 B) 1, 2, 4, 8, 16, 32 C) 1, 2, 4, 8, 16 D) 1, 3, 5, 7, 9

A) 1, 1, 1, 1, 1
B) 1, 2, 4, 8, 16, 32
C) 1, 2, 4, 8, 16
D) 1, 3, 5, 7, 9
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6
Find a formula for the nth term of the sequence.
5, 6, 7, 8, 9 (integers beginning with 5) Find a formula for the nth term of the sequence. 5, 6, 7, 8, 9 (integers beginning with 5)
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7
Write the first four elements of the sequence.
Write the first four elements of the sequence.
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8
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 2, -2, -2, 2, 2 B) 2, -2, 2, -2, 2 C) -2, 2, -2, 2, -2 D) 2, 2, -2, -2, 2

A) 2, -2, -2, 2, 2
B) 2, -2, 2, -2, 2
C) -2, 2, -2, 2, -2
D) 2, 2, -2, -2, 2
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9
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 1, 2, 3, 5 B) 1, 5, 6, 7, 8 C) 1, 5, 6, 12, 18 D) 1, 5, 6, 11, 17

A) 1, 1, 2, 3, 5
B) 1, 5, 6, 7, 8
C) 1, 5, 6, 12, 18
D) 1, 5, 6, 11, 17
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10
Write the first four elements of the sequence.
<strong>Write the first four elements of the sequence.  </strong> A) 0, 0, 0, 0 B) 1, 1, 1, 1 C) 0, 1, 0, -1 D) 1, 0, -1, 0

A) 0, 0, 0, 0
B) 1, 1, 1, 1
C) 0, 1, 0, -1
D) 1, 0, -1, 0
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11
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
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12
Find a formula for the nth term of the sequence.
-5, -4, -3, -2, -1 (integers beginning with -5) Find a formula for the nth term of the sequence. -5, -4, -3, -2, -1 (integers beginning with -5)
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13
Write the first four elements of the sequence.
Write the first four elements of the sequence.
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14
Find a formula for the nth term of the sequence.
Find a formula for the nth term of the sequence.
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15
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 1, 5, 25, 125, 625 B) 1, 6, 11, 16, 21 C) 5, 6, 7, 8, 9 D) 5, 25, 125, 625, 3125

A) 1, 5, 25, 125, 625
B) 1, 6, 11, 16, 21
C) 5, 6, 7, 8, 9
D) 5, 25, 125, 625, 3125
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15
Find a formula for the nth term of the sequence.
, , , 10, 12 (every other integer starting with ) Find a formula for the nth term of the sequence. , , , 10, 12 (every other integer starting with )
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16
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
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17
Find a formula for the nth term of the sequence.
6, -6, 6, -6, 6 (6's with alternating signs) Find a formula for the nth term of the sequence. 6, -6, 6, -6, 6 (6's with alternating signs)
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18
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
<strong>A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.  </strong> A) 6, 11, 16, 21, 26 B) 1, 6, 11, 16, 21 C) 1, 6, 11, 16, 21, 26 D) 1, 5, 25, 125, 625, 3125

A) 6, 11, 16, 21, 26
B) 1, 6, 11, 16, 21
C) 1, 6, 11, 16, 21, 26
D) 1, 5, 25, 125, 625, 3125
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19
Write the first four elements of the sequence.
Write the first four elements of the sequence.
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20
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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21
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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22
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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23
Find a formula for the nth term of the sequence.
Find a formula for the nth term of the sequence.
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24
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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25
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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26
Find a formula for the nth term of the sequence.
0, -1, 0, 1, 0, -1, 0, 1 (0, -1, 0, 1 repeated) Find a formula for the nth term of the sequence. 0, -1, 0, 1, 0, -1, 0, 1 (0, -1, 0, 1 repeated)
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27
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 1 B) ln 9 C) 0 D) Diverges

A) 1
B) ln 9
C) 0
D) Diverges
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28
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 0 B) 3 C) 1 D) Diverges

A) 0
B) 3
C) 1
D) Diverges
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29
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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30
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) ln 2 B) 1 C) 0 D) Diverges

A) ln 2
B) 1
C) 0
D) Diverges
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31
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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32
Find a formula for the nth term of the sequence.
0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs) Find a formula for the nth term of the sequence. 0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)
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33
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 0 B) ln 1 C) 1 D) Diverges

A) 0
B) ln 1
C) 1
D) Diverges
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34
Find a formula for the nth term of the sequence.
0, 2, 2, 2, 0, 2, 2, 2 (0, 2, 2, 2 repeated) Find a formula for the nth term of the sequence. 0, 2, 2, 2, 0, 2, 2, 2 (0, 2, 2, 2 repeated)
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35
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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36
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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37
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 6 B) 1 C) 0 D) Diverges

A) 6
B) 1
C) 0
D) Diverges
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38
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 5 B) 4 C) 4.3 D) Diverges

A) 5
B) 4
C) 4.3
D) Diverges
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39
Find a formula for the nth term of the sequence.
0, 2, 0, 2, 0 (alternating 0's and 2's) Find a formula for the nth term of the sequence. 0, 2, 0, 2, 0 (alternating 0's and 2's)
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40
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; unbounded B) nondecreasing; bounded C) decreasing; bounded D) increasing; unbounded

A) not monotonic; unbounded
B) nondecreasing; bounded
C) decreasing; bounded
D) increasing; unbounded
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41
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) -3 B) -9 C) 4 D) 8

A) -3
B) -9
C) 4
D) 8
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42
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nonincreasing; unbounded B) not monotonic; unbounded C) nondecreasing; bounded D) nondecreasing; unbounded

A) nonincreasing; unbounded
B) not monotonic; unbounded
C) nondecreasing; bounded
D) nondecreasing; unbounded
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43
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nondecreasing; bounded B) decreasing; bounded C) increasing; unbounded D) not monotonic; bounded

A) nondecreasing; bounded
B) decreasing; bounded
C) increasing; unbounded
D) not monotonic; bounded
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44
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges

A) Converges
B) Diverges
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45
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) decreasing; unbounded B) not monotonic; bounded C) increasing; bounded D) nonincreasing; bounded

A) decreasing; unbounded
B) not monotonic; bounded
C) increasing; bounded
D) nonincreasing; bounded
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46
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 1 B) 5 C) 0 D) Diverges

A) 1
B) 5
C) 0
D) Diverges
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47
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) decreasing; unbounded B) nondecreasing; bounded C) not monotonic; unbounded D) nondecreasing; unbounded

A) decreasing; unbounded
B) nondecreasing; bounded
C) not monotonic; unbounded
D) nondecreasing; unbounded
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48
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; bounded B) nondecreasing; bounded C) decreasing; bounded D) decreasing; unbounded

A) not monotonic; bounded
B) nondecreasing; bounded
C) decreasing; bounded
D) decreasing; unbounded
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49
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges

A) Converges
B) Diverges
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50
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Converges B) Diverges

A) Converges
B) Diverges
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51
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) not monotonic; unbounded B) nondecreasing; bounded C) nondecreasing; unbounded D) increasing; bounded

A) not monotonic; unbounded
B) nondecreasing; bounded
C) nondecreasing; unbounded
D) increasing; bounded
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52
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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53
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) 5 B) -5 C) 1 D) 25

A) 5
B) -5
C) 1
D) 25
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54
Determine if the sequence is monotonic and if it is bounded.
<strong>Determine if the sequence is monotonic and if it is bounded.  </strong> A) nondecreasing; bounded B) not monotonic; bounded C) increasing; unbounded D) decreasing; bounded

A) nondecreasing; bounded
B) not monotonic; bounded
C) increasing; unbounded
D) decreasing; bounded
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55
Determine whether the nonincreasing sequence converges or diverges.
<strong>Determine whether the nonincreasing sequence converges or diverges.  </strong> A) Diverges B) Converges

A) Diverges
B) Converges
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56
Assume that the sequence converges and find its limit.
<strong>Assume that the sequence converges and find its limit.  </strong> A) 5 B) 6 C) 7 D) 8

A) 5
B) 6
C) 7
D) 8
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57
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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58
Find the limit of the sequence if it converges; otherwise indicate divergence.
<strong>Find the limit of the sequence if it converges; otherwise indicate divergence.  </strong> A) 6 B) ln 6 C) 0 D) Diverges

A) 6
B) ln 6
C) 0
D) Diverges
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59
Find the limit of the sequence if it converges; otherwise indicate divergence.
Find the limit of the sequence if it converges; otherwise indicate divergence.
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60
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 16 B) 15 C) 14 D) 13

A) 16
B) 15
C) 14
D) 13
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61
<strong>   </strong> A) L = ln 2, N = 6 B) L = 0, N = 7 C) L = ln 4, N = 8 D) diverges
<strong>   </strong> A) L = ln 2, N = 6 B) L = 0, N = 7 C) L = ln 4, N = 8 D) diverges

A) L = ln 2, N = 6
B) L = 0, N = 7
C) L = ln 4, N = 8
D) diverges
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62
<strong>   </strong> A) L = 1, N = 28 B) L = 1, N = 6 C) L = 0, N = 28 D) diverges
<strong>   </strong> A) L = 1, N = 28 B) L = 1, N = 6 C) L = 0, N = 28 D) diverges

A) L = 1, N = 28
B) L = 1, N = 6
C) L = 0, N = 28
D) diverges
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63
<strong>   </strong> A) L = 1, N = 738 B) L = 1, N = 1549 C) L = 0, N = 1549 D) diverges
<strong>   </strong> A) L = 1, N = 738 B) L = 1, N = 1549 C) L = 0, N = 1549 D) diverges

A) L = 1, N = 738
B) L = 1, N = 1549
C) L = 0, N = 1549
D) diverges
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64
<strong>   </strong> A) L = ln 2, N = 6 B) L = ln 4, N = 8 C) L = 0, N = 8 D) diverges
<strong>   </strong> A) L = ln 2, N = 6 B) L = ln 4, N = 8 C) L = 0, N = 8 D) diverges

A) L = ln 2, N = 6
B) L = ln 4, N = 8
C) L = 0, N = 8
D) diverges
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65
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 25 B) 23 C) 27 D) 20

A) 25
B) 23
C) 27
D) 20
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66

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67
Provide an appropriate response.
<strong>Provide an appropriate response.  </strong> A) 49 B) 50 C) 2 D) 3

A) 49
B) 50
C) 2
D) 3
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68
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 9883 B) 9891 C) 9899 D) 9907

A) 9883
B) 9891
C) 9899
D) 9907
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69
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 750 B) 731 C) 733 D) 737

A) 750
B) 731
C) 733
D) 737
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70
<strong>   </strong> A) L = 0, N = 37 B) L = 1, N = 28 C) L = 0, N = 28 D) diverges
<strong>   </strong> A) L = 0, N = 37 B) L = 1, N = 28 C) L = 0, N = 28 D) diverges

A) L = 0, N = 37
B) L = 1, N = 28
C) L = 0, N = 28
D) diverges
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71
Provide an appropriate response.
Provide an appropriate response.
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72
<strong>   </strong> A) L = 0, N = 13 B) L = 0, N = 10 C) L = 0, N = 8 D) diverges
<strong>   </strong> A) L = 0, N = 13 B) L = 0, N = 10 C) L = 0, N = 8 D) diverges

A) L = 0, N = 13
B) L = 0, N = 10
C) L = 0, N = 8
D) diverges
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73
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 17 B) 20 C) 18 D) 19

A) 17
B) 20
C) 18
D) 19
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74
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 21 B) 31 C) 20 D) 30

A) 21
B) 31
C) 20
D) 30
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75
<strong>   </strong> A) L = 1, N = 394 B) L = 0, N = 237 C) L = 0, N = 394 D) diverges
<strong>   </strong> A) L = 1, N = 394 B) L = 0, N = 237 C) L = 0, N = 394 D) diverges

A) L = 1, N = 394
B) L = 0, N = 237
C) L = 0, N = 394
D) diverges
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76
<strong>   </strong> A) L = ln 2, N = 394 B) L = 1, N = 394 C) L = 1, N = 652 D) diverges
<strong>   </strong> A) L = ln 2, N = 394 B) L = 1, N = 394 C) L = 1, N = 652 D) diverges

A) L = ln 2, N = 394
B) L = 1, N = 394
C) L = 1, N = 652
D) diverges
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77

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78
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 16 B) 15 C) 17 D) 18

A) 16
B) 15
C) 17
D) 18
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79
Find the smallest value of N that will make the inequality hold for all n > N.
<strong>Find the smallest value of N that will make the inequality hold for all n > N.  </strong> A) 2302 B) 2305 C) 2300 D) 2298

A) 2302
B) 2305
C) 2300
D) 2298
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