Question 1

Find the sum of the following geometric series.

Accepted Answer

The answer of Find the sum of the following geometric...

Question 2

Use the binomial formula to expand the following.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Write the first ten terms of the sequence defined by the recursion formula.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

This problem gives some information about a specific geometric progression.  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Write the first five terms of the sequence with the following general term.

Accepted Answer

The answer of Write the first five terms of the...

Question 6

Write the first five terms of the sequence with the following general term.

Accepted Answer

A)  -3, 10, -25, 83, -241 
B)  -3, 12, -24, 84, -240 
C)  -3, 9, -27, 81, -243 
D)  -3, 9, -22, 86, -238 
E)  -3, 11, -24, 85, -238

Question 7

If, in an arithmetic sequence,  and  , find the first term, the common difference, and then find  and  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

The sixth term in the expansion of  will give the probability that in a family with 9 children, 5 will be boys and 4 will be girls. Find the sixth term. Give your answer as a fraction in lowest terms.

Accepted Answer

The answer of The sixth term in the expansion of...

Question 9

This problem gives some information about a specific geometric progression.  .

Accepted Answer

The answer of This problem gives some information about a...

Question 10

Find the sum of the following geometric series.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Find the 24th term in the expansion of  .

Accepted Answer

The answer of Find the 24th term in the expansion...

Question 12

Write the first five terms of the sequence with the following general term.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Write the first five terms of the sequence defined by the recursion formula.

Accepted Answer

A)  1, 2, 4, 8, 16 
B)  1, 3, 6, 13, 27 
C)  1, 1, 1, 1, 1 
D)  1, 0, 1, 0, 1 
E)  1, 2, 4, 9, 19

Question 14

Write the first four terms in the expansion of the following.

Accepted Answer

The answer of Write the first four terms in the...

Question 15

Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d .

Accepted Answer

A)   
B)   
C)   
D)   
E)  The sequence is not an arithmetic progression.

Question 16

Write the sum with summation notation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Find the fifth term in the expansion of  .

Accepted Answer

The answer of Find the fifth term in the expansion...

Question 18

Expand and simplify.

Accepted Answer

The answer of Expand and simplify. ...

Question 19

Write the sum with summation notation. Do not calculate the sum.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Find the sum of the following geometric series.

Accepted Answer

The answer of Find the sum of the following geometric...

Exam 13: Sequences

Find the sum of the following geometric series.

Use the binomial formula to expand the following.

Write the first ten terms of the sequence defined by the recursion formula.

This problem gives some information about a specific geometric progression. .

Write the first five terms of the sequence with the following general term.

Write the first five terms of the sequence with the following general term.

If, in an arithmetic sequence, and , find the first term, the common difference, and then find and .

The sixth term in the expansion of will give the probability that in a family with 9 children, 5 will be boys and 4 will be girls. Find the sixth term. Give your answer as a fraction in lowest terms.

This problem gives some information about a specific geometric progression. .

Find the sum of the following geometric series.

Find the 24th term in the expansion of .

Write the first five terms of the sequence with the following general term.

Write the first five terms of the sequence defined by the recursion formula.

Write the first four terms in the expansion of the following.

Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d .

Write the sum with summation notation.

Find the fifth term in the expansion of .

Expand and simplify.

Write the sum with summation notation. Do not calculate the sum.

Find the sum of the following geometric series.