Question 1

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

Accepted Answer

A)  6, 2, -1, -5, -9 
B)  6, 2, -2, -6, -10 
C)  6, 2, -2, -6, -18 
D)  6, 2, -2, -10, -14 
E)  6, 2, -2, -5, -8

Question 2

Consider the following finite series:  For which values of i does the following summation notation hold true and what constant must be added in the denominator?   must range from __________ to __________.  __________

Accepted Answer

The answer of Consider the following finite series:  For...

Question 3

Find the 24th term in the expansion of  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Find the value of  for the sequence 28, 25, 22, 19, . . . .  __________

Accepted Answer

The answer of Find the value of  for the...

Question 5

Expand and simplify.

Accepted Answer

A)  44 
B)  43 
C)  42 
D)  47 
E)  46

Question 6

If a boulder fell from the top of  in Hawaii, the distance, in feet, the boulder would fall in each consecutive second would be modeled by a sequence whose general term is  where  represents the number of seconds. What is the total distance the boulder fell in 4 seconds?

Accepted Answer

A)  276 feet 
B)  251 feet 
C)  241 feet 
D)  246 feet 
E)  256 feet

Question 7

Determine if the sequence is a geometric progression. If it is, then identify the common ratio r .

Accepted Answer

A)  This is a geometric sequence with r = 4; 
B)  This is a geometric sequence with r = 6; 
C)  This is a geometric sequence with r = 9; 
D)  This is a geometric sequence with r = 3; 
E)  This is not a geometric sequence.

Question 8

Expand

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

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

Accepted Answer

The answer of If, in an arithmetic sequence,  and...

Question 10

Write the following sum in summation notation. Do not calculate the sum.

Accepted Answer

The answer of Write the following sum in summation notation....

Question 11

Expand and simplify.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d .  Is the sequence an arithmetic progression? Answer yes or no . __________ What is the common difference? __________

Accepted Answer

The answer of Determine whether the following sequence is an...

Question 13

Use the binomial formula to expand the following.

Accepted Answer

The answer of Use the binomial formula to expand the...

Question 14

Expand

Accepted Answer

The answer of Expand ...

Question 15

Determine if the sequence is a geometric progression. If it is, then identify the common ratio r .  Is the sequence geometric? __________ If the sequence is geometric find the common ratio r . __________

Accepted Answer

The answer of Determine if the sequence is a geometric...

Question 16

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

Accepted Answer

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

Question 17

Determine the general term for the sequence.

Accepted Answer

The answer of Determine the general term for the sequence....

Question 18

If, in an arithmetic sequence,  and the common difference is  , find  and  .  __________  __________

Accepted Answer

The answer of If, in an arithmetic sequence,  and...

Question 19

Find the ninth term in the expansion of  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Find  for an arithmetic sequence in which  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 13: Sequences

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

Consider the following finite series: For which values of i does the following summation notation hold true and what constant must be added in the denominator? must range from to . __

Find the 24th term in the expansion of .

Find the value of for the sequence 28, 25, 22, 19, . . . . __________

Expand and simplify.

If a boulder fell from the top of in Hawaii, the distance, in feet, the boulder would fall in each consecutive second would be modeled by a sequence whose general term is where represents the number of seconds. What is the total distance the boulder fell in 4 seconds?

Determine if the sequence is a geometric progression. If it is, then identify the common ratio r .

Expand

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

Write the following sum in summation notation. Do not calculate the sum.

Expand and simplify.

Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d . Is the sequence an arithmetic progression? Answer yes or no . What is the common difference?

Use the binomial formula to expand the following.

Expand

Determine if the sequence is a geometric progression. If it is, then identify the common ratio r . Is the sequence geometric? If the sequence is geometric find the common ratio r .

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

Determine the general term for the sequence.

If, in an arithmetic sequence, and the common difference is , find and .

Find the ninth term in the expansion of .

Find for an arithmetic sequence in which .