Deck 14: Sequences, Series, and the Binomial Theorem

Question 1

Find the indicated term for the sequence.

Answer 1

B

Question 2

Find the first five terms of the sequence with the given general term.

Answer 2

C

Question 3

Find the general term an of the given sequence.

Answer 3

D

Question 4

Find the first five terms of the sequence with the given general term.

Question 5

Find the indicated term for the sequence.

Question 6

Find the indicated term for the sequence.

Question 7

Find the first four terms of the given sequence.

Question 8

Find the first five terms of the sequence with the given general term.

Question 9

Find the first five terms of the sequence with the given general term.

Question 10

Find the first five terms of the sequence with the given general term.

Question 11

Find the first four terms of the given sequence.

Question 12

Find the general term an of the given sequence.

Question 13

Find the first four terms of the given sequence.

Question 14

Find the indicated term for the sequence.

Question 15

Find the indicated term for the sequence.

Question 16

Find the first four terms of the given sequence.

Question 17

Find the first five terms of the sequence with the given general term.

Question 18

Find the general term an of the given sequence.

Question 19

Find the general term an of the given sequence.

Question 20

Find the indicated term for the sequence.

D) 156

Question 21

Find the indicated partial sum for the given sequence.

Question 22

Find the indicated partial sum for the given sequence.

Question 23

Find the sum.

Question 24

Find the indicated partial sum for the given sequence.

Question 25

Find the indicated partial sum for the sequence with the given general term.

Question 26

Find the indicated partial sum for the sequence with the given general term.

Question 27

Find the indicated partial sum for the given sequence with the given first term and general term.

Question 28

Find the indicated partial sum for the sequence with the given general term.

Question 29

Find the indicated partial sum for the given sequence with the given first term and general term.

Question 30

Find the sum.

Question 31

Find the indicated partial sum for the given sequence.

Question 32

Find the sum.

Question 33

Find the indicated partial sum for the sequence with the given general term.

Question 34

Find the sum.

Question 35

Find the indicated partial sum for the given sequence.

Question 36

Find the indicated partial sum for the sequence with the given general term.

Question 37

Find the indicated partial sum for the sequence with the given general term.

Question 38

Find the indicated partial sum for the given sequence.

Question 39

Find the indicated partial sum for the given sequence with the given first term and general term.

Question 40

Find the indicated partial sum for the given sequence.

Question 41

Solve the problem.
A man earned $3000 the first year he worked. If he received a raise of $500 at the end of each year, what was his salary during the 15th year?

A) $10,500
B) $10,000
C) None of these
D) $7000

Question 42

Find the indicated partial sum for the given sequence.
Find the sum of the first 250 odd positive integers.

A) 62,750
B) 62,001
C) 63,001
D) 62,500

Question 43

Write the sum using summation notation.

Question 44

Find the sum.

Question 45

Find the sum.

Question 46

Solve the problem.

Question 47

Find the sum.

Question 48

Write the sum using summation notation.

Question 49

Find the indicated partial sum for the given sequence.
Find the sum of the first 187 positive integers.

A) 35,156
B) 17,578
C) 17,391
D) 34,969

Question 50

Solve the problem.

A) an = 1870 + 130(n - 1) ; $3300
B) an = 2000 + 130n ; $3430
C) an = 1870 + 130n ; $3430
D) an = 2000 + 130n ; $3560

Question 51

Solve the problem.
A town has a population of 2000 people and is increasing by 9% every year. What will the population be at the end of 8 years?

A) 3656
B) 4344
C) 3440
D) 3985

Question 52

Write the sum using summation notation.

Question 53

Write the sum using summation notation.

Question 54

Find the common difference,d, of the given arithmetic sequence.

A) 5
B) -4
C)- 2

Question 55

Find the indicated partial sum for the given sequence.
Find the sum of the first 907 even positive integers.

A) 823,556
B) 821,742
C) 822,649
D) 824,464

Question 56

Find the common difference,d, of the given arithmetic sequence.
6, 7, 8, 9, …

A) 1
B) 6
C) 0.75

Question 57

Find the common difference,d, of the given arithmetic sequence.
5, 8, 11, 14, …

A) -3
B) 3
C) 9

Question 58

Find the common difference,d, of the given arithmetic sequence.
-15, -18, -21, -24, …

A) -6
B)-9
C)-3

Question 59

Write the sum using summation notation.

Question 60

Solve the problem.
The population of a town was 30,700 at the beginning of 1970. If the population decreased 400 people per year, how many people lived in the town at the beginning of 1985?

A) 6000
B) 25,100
C) 24,300
D) 24,700

Question 61

Find the general term, an, of the given geometric sequence.

Question 62

Find the general term, an, of the given geometric sequence.

Question 63

Solve the problem.
To train for a race, Will begins by jogging 12 minutes one day per week. He increases his jogging time by 5 minutes each week. Write the general term of this arithmetic sequence, and find how
Many weeks it takes for him to reach a jogging time of one hour.

A) an = 5n + 12; 10 weeks
B) an = 5n + 7; 10 weeks
C) an = 5n + 12; 11 weeks
D) an = 5n + 7; 11 weeks

Question 64

Find the first five terms of the geometric sequence with the given first term and common ratio.

Question 65

Find the general term, an, of the given geometric sequence.

Question 66

Find the general term, an, of the given geometric sequence.

Question 67

Find the general term, an, of the given geometric sequence.

Question 68

Find the partial sum of the geometric sequence with the given first term and common ratio.

Question 69

Find the common ratio, r, for the geometric sequence.
1

A) -3B)81C)3
D)-4

Question 70

Find the partial sum of the geometric sequence with the given first term and common ratio.

Question 71

Find the partial sum of the geometric sequence with the given first term and common ratio.

Question 72

Find the common ratio, r, for the geometric sequence.
3

A) 3
B) 9
C) 81
D) 1/ 3

Question 73

Find the first five terms of the geometric sequence with the given first term and common ratio.
a1 = 4

A) 4 -12 36 -108 324
B) 4 1 -6 -5 -8
C) -12 36 -108 324 -972
D) 4 12 36 108 324

Question 74

Find the partial sum of the geometric sequence with the given first term and common ratio.
s9

A) -2064
B) -2042
C) -2007
D) -2044

Question 75

Find the common ratio, r, for the geometric sequence.

Question 76

Find the common ratio, r, for the geometric sequence.

Question 77

Find the general term, an, of the given geometric sequence.

Question 78

Find the general term, an, of the given geometric sequence.

Question 79

Find the common ratio, r, for the geometric sequence.

Question 80

Find the common ratio, r, for the geometric sequence.