Question 1

If, in an arithmetic sequence,   and   , find   and   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

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. Write a sequence for the first 5 seconds the boulder falls. __________ What is the total distance the boulder fell in 5 seconds? __________ ft If   is approximately 420 feet high, will the boulder hit the ground within 8 seconds? Answer yes or no . __________

Accepted Answer

The answer of If a boulder fell from the top...

Question 3

Use the binomial formula to expand the following.

Accepted Answer

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

Question 4

After 1 day, a colony of 40 bacteria reproduces to become 200 bacteria. After 2 days, they reproduce to become 1,000 bacteria. If they continue to reproduce at this rate, how many bacteria will be present after 6 days?

Accepted Answer

A)  626,000 bacteria 
B)  625,800 bacteria 
C)  625,500 bacteria 
D)  625,000 bacteria 
E)  624,900 bacteria 
A)  626,000 bacteria 
B)  625,800 bacteria 
C)  625,500 bacteria 
D)  625,000 bacteria 
E)  624,900 bacteria

Question 5

The first four triangular numbers are {1, 3, 6, 10, . . . }, and are illustrated in the following diagram.     Write the recursive general term for the sequence of triangular numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

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

Accepted Answer

A)  d = 3 
B)  d = 8 
C)  d = 4 
D)  d = 1 
E)  The sequence is not an arithmetic progression. 
A)  d = 3 
B)  d = 8 
C)  d = 4 
D)  d = 1 
E)  The sequence is not an arithmetic progression.

Question 7

Determine the general term for the following sequence.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find   for the sequence

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Find the sum of the first 50 terms of the sequence 5, 10, 15, 20, . . . .   __________

Accepted Answer

The answer of Find the sum of the first 50...

Question 11

To save money for holiday presents, a person deposits $5 in a savings account on January 1, and then deposits an additional $5 every week thereafter until Christmas. If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents?

Accepted Answer

A)  $200 
B)  $245 
C)  $441 
D)  $250 
E)  $450 
A)  $200 
B)  $245 
C)  $441 
D)  $250 
E)  $450

Question 12

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

Accepted Answer

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

Question 13

Show that 0.181818... is the same as   .

Accepted Answer

@#IMG-DLM& We have an infinite

Question 14

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

Accepted Answer

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

Question 15

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

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 18

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 19

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 20

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

Accepted Answer

A)  -5, -10, -20, -40, -80 
B)  -5, -8, -16, -32, -64 
C)  -5, -10, 20, 40, -80 
D)  5, 10, 23, 46, 92 
E)  -5, -10, -20, -39, -78 
A)  -5, -10, -20, -40, -80 
B)  -5, -8, -16, -32, -64 
C)  -5, -10, 20, 40, -80 
D)  5, 10, 23, 46, 92 
E)  -5, -10, -20, -39, -78

If, in an arithmetic sequence, and , find and .

Use the binomial formula to expand the following.

After 1 day, a colony of 40 bacteria reproduces to become 200 bacteria. After 2 days, they reproduce to become 1,000 bacteria. If they continue to reproduce at this rate, how many bacteria will be present after 6 days?

The first four triangular numbers are {1, 3, 6, 10, . . . }, and are illustrated in the following diagram. Write the recursive general term for the sequence of triangular numbers.

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

Determine the general term for the following sequence.

Find for the sequence

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

Find the sum of the first 50 terms of the sequence 5, 10, 15, 20, . . . . __________

To save money for holiday presents, a person deposits $5 in a savings account on January 1, and then deposits an additional $5 every week thereafter until Christmas. If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents?

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

Show that 0.181818... is the same as .

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 ten terms of the sequence defined by the recursion formula.

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

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?

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.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Filters

Exam 13: Sequences

If, in an arithmetic sequence, and , find and .

Use the binomial formula to expand the following.

After 1 day, a colony of 40 bacteria reproduces to become 200 bacteria. After 2 days, they reproduce to become 1,000 bacteria. If they continue to reproduce at this rate, how many bacteria will be present after 6 days?

The first four triangular numbers are {1, 3, 6, 10, . . . }, and are illustrated in the following diagram. Write the recursive general term for the sequence of triangular numbers.

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

Determine the general term for the following sequence.

Find for the sequence

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

Find the sum of the first 50 terms of the sequence 5, 10, 15, 20, . . . . __________

To save money for holiday presents, a person deposits $5 in a savings account on January 1, and then deposits an additional $5 every week thereafter until Christmas. If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents?

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

Show that 0.181818... is the same as .

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 ten terms of the sequence defined by the recursion formula.

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

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? __________

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.

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Completing the Square

Exponential Functions

The Circle

Filters

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?