Question 1

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10.
-Find the 11th term of the sequence.

Accepted Answer

The 11th term in a geometric sequence is found by multiplying the 10th term by the common ratio. Since the 10th term is 1,000,000,000 and the common ratio is 10, the 11th term is 1,000,000,000 * 10 = 10,000,000,000.

Question 2

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10.
-Find a formula for the nth term of the seqence.

Accepted Answer

The answer of The tenth term in a geometric sequence...

Question 3

Evaluate the partial sum of the geometric series.
-

Accepted Answer

The answer of Evaluate the partial sum of the geometric...

Question 4

Evaluate the partial sum of the geometric series.
-; six terms.

Accepted Answer

The answer of Evaluate the partial sum of the geometric...

Question 5

Evaluate the partial sum of the geometric series.
-; five terms

Accepted Answer

The answer of Evaluate the partial sum of the geometric...

Question 6

Evaluate the infinite geometric series.
-

Accepted Answer

The answer of Evaluate the infinite geometric series.
-
...

Question 7

Evaluate the infinite geometric series.
-

Accepted Answer

The answer of Evaluate the infinite geometric series.
-
...

Question 8

Evaluate the infinite geometric series.
-

Accepted Answer

The answer of Evaluate the infinite geometric series.
-
...

Question 9

The function  is a model of the number of units sold each year of a product,  , when the number of years since 2006 in t. Rewrite the function as a geometric sequence with a domain of  . Round to the nearest whole number.

Accepted Answer

The answer of The function  is a model of...

Question 10

For all the problems in this set the domain is the set of positive integers.
-Find the common difference, d, of the arithmetic sequence )

Accepted Answer

The answer of For all the problems in this set...

Question 11

For all the problems in this set the domain is the set of positive integers.
Find a formula for the nth term of the arithmetic sequence.
-

Accepted Answer

The answer of For all the problems in this set...

Question 12

For all the problems in this set the domain is the set of positive integers.
Find a formula for the nth term of the arithmetic sequence.
-

Accepted Answer

The answer of For all the problems in this set...

Question 13

For all the problems in this set the domain is the set of positive integers.
Find a formula for the nth term of the arithmetic sequence.
-

Accepted Answer

The answer of For all the problems in this set...

Question 14

For all the problems in this set the domain is the set of positive integers.
-Which of the following sequences, if any, is an arithmetic sequence?

Accepted Answer

The answer of For all the problems in this set...

Question 15

For all the problems in this set the domain is the set of positive integers.
-The 10th term in an arithmetic sequence is 45. The common difference is 15. Find the 11th term in this sequence.

Accepted Answer

The 11th term can be found by adding the common difference (15) to the 10th term (45), resulting in 60.

Question 16

For all the problems in this set the domain is the set of positive integers.
 Each of the sequences is arithmetic. Find the formula for the nth term.
-The 12th term is 156. The common difference is 12.

Accepted Answer

The answer of For all the problems in this set...

Question 17

For all the problems in this set the domain is the set of positive integers.
 Each of the sequences is arithmetic. Find the formula for the nth term.
-The 3rd term is 29. The 7th term is 57.

Accepted Answer

The answer of For all the problems in this set...

Question 18

For all the problems in this set the domain is the set of positive integers.
 Each of the sequences is arithmetic. Find the formula for the nth term.
-The 6th term is  . The common difference is  .

Accepted Answer

The answer of For all the problems in this set...

Question 19

For all the problems in this set the domain is the set of positive integers.
Evaluate the partial sum of the given number of terms of the arithmetic sequence.
-; the first 18 terms.

Accepted Answer

The answer of For all the problems in this set...

Question 20

For all the problems in this set the domain is the set of positive integers.
Evaluate the partial sum of the given number of terms of the arithmetic sequence.
-; the first 40 terms.

Accepted Answer

The answer of For all the problems in this set...

Quiz 10: Sequences, Series and the Binomial Theorem

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10. -Find the 11th term of the sequence.

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10. -Find a formula for the nth term of the seqence.

Evaluate the partial sum of the geometric series. -

Evaluate the partial sum of the geometric series. -; six terms.

Evaluate the partial sum of the geometric series. -; five terms

Evaluate the infinite geometric series. -

Evaluate the infinite geometric series. -

Evaluate the infinite geometric series. -

The function is a model of the number of units sold each year of a product, , when the number of years since 2006 in t. Rewrite the function as a geometric sequence with a domain of . Round to the nearest whole number.

For all the problems in this set the domain is the set of positive integers. -Find the common difference, d, of the arithmetic sequence )

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

For all the problems in this set the domain is the set of positive integers. -Which of the following sequences, if any, is an arithmetic sequence?

For all the problems in this set the domain is the set of positive integers. -The 10th term in an arithmetic sequence is 45. The common difference is 15. Find the 11th term in this sequence.

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 12th term is 156. The common difference is 12.

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 3rd term is 29. The 7th term is 57.

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 6th term is . The common difference is .

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -; the first 18 terms.

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -; the first 40 terms.