Question 1

Write a formula for the general term of the given sequence and match your result to the correct answer below. -2, -1, 0, 1, 2, ...

Accepted Answer

A)   an = (-1) n(n - 3) 
B)   an = n - 3
C)   an = -n - 3
D)   an = n + 3 B

Question 2

List all terms of the given finite sequence and match your result to the correct answer below. cn = (-1)n-3 for 3 F1F1F1S1F1F1F10 n F1F1F1S1F1F1F10 7

Accepted Answer

A)   -1, 1, -1, 1, -1
B)   1, 1, 1, 1, 1
C)   1, -1, -1, -1, -1
D)   1, -1, 1, -1, 1 D

Question 3

Use the binomial theorem to write out the first four terms of the given binomial. (x2 + 1)17

Accepted Answer

A)   x17 + 17x16 + 136x15 + 680x14
B)   x34 + 17x32 + 136x30 + 680x28
C)   x17 + 17x33 + 136x32 + 680x31
D)   x34 + 17x33 + 136x32 + 680x31 B

Question 4

Find  .

Accepted Answer

A)   24
B)   70
C)   14
D)   18

Question 5

Find the sum of the given series.

Accepted Answer

A)   9
B)   -27
C)   -108
D)   -36

Question 6

Use the binomial theorem to expand the given binomial. (t + 2)4

Accepted Answer

A)   t4 + 8t3 + 12t2 + 8t + 2
B)   t4 + 8t3 + 24t2 + 32t + 16
C)   2t4 + 16t3 + 48t2 + 16t + 2
D)   t4 + 2t3 + 4t2 + 8t + 16

Question 7

Complete the rewriting of the given series using the new index as indicated.

Accepted Answer

A)  
B)  
C)  
D)

Question 8

Write the first five terms of the arithmetic sequence whose nth term is given. an = -3 + (n - 2)(-3)

Accepted Answer

A)   -6, -3, 0, 3, 6
B)   3, 0, -3, -6.0, -9
C)   3, 0, -3, -6, -9
D)   0, -3, -6, -9, -12

Question 9

Find  .

Accepted Answer

A)   -13
B)   13
C)   0
D)   -1

Question 10

Evaluate  .

Accepted Answer

A)   1
B)   Undefined
C)   6
D)   0

Question 11

Write the given series in summation notation. Use the index i, and let i begin at 1. ln(9) + ln(10) + ln(11)

Accepted Answer

A)    ln(i + 9) 
B)    ln(i + 8) 
C)    ln(i) 
D)    ln(i + 7)

Question 12

Write a formula for the nth term of the given geometric sequence. 3, -6, 12, ...

Accepted Answer

A)   an = -3(2) n-1
B)   an = 3(-2) n+1
C)   an = 3(-2) n-1
D)   an = 3(-2) n

Question 13

Find the sum of the given geometric series.

Accepted Answer

A)   -19,682
B)   -59,048
C)   -177,146
D)   -6,560

Question 14

List the first four terms of the given sequence and match your result to the correct answer below. cn = (-1)n(-2n + 3)2

Accepted Answer

A)   1, -1, 9, -25
B)   1, -1, 1, -9
C)   1, -9, 25, -49
D)   -1, 1, -9, 25

Question 15

Write a formula for the nth term of the given arithmetic sequence. 4, 10, 16, 22, 28, . . .

Accepted Answer

A)   an = 6n - 2
B)   an = 7n - 3
C)   an = 6n + 2
D)   an = 2n - 6

Question 16

Find the sum of the given infinite geometric series.

Accepted Answer

A)   
B)   
C)   
D)

Question 17

List all terms of the finite sequence an = 6n + 2 for 1 ≤ n ≤ 5.

Accepted Answer

A)   8, 14, 20, 26, 32
B)   8, 10, 12, 14, 16
C)   9, 10, 11, 12, 13
D)   1, 2, 3, 4, 5

Question 18

Find the common difference of an arithmetic sequence if the first term is -9 and the seventh term is -39.

Accepted Answer

A)   -4
B)   3
C)   -6
D)   -5

Question 19

Suppose a deposit of $500 is made at the beginning of each year for 15 years into an account that pays 9% compounded annually. What is the amount of this annuity at the end of the 15th year?

Accepted Answer

A)   $16,501.70
B)   $18,486.85
C)   $13,009.59
D)   $16,001.70

Question 20

Each time an aluminum beverage can is recycled, some amount of the material is lost due to a variety of reasons. If each recycling step is 90% efficient, what percent of the original material remains if a can is recycled 6 times? Round to the nearest tenth of a percent.

Accepted Answer

A)   63.2%
B)   56.5%
C)   57.9%
D)   53.1%

Exam 14: Section 1: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Write a formula for the general term of the given sequence and match your result to the correct answer below. -2, -1, 0, 1, 2, ...

List all terms of the given finite sequence and match your result to the correct answer below. c_n = (-1) ^n-³ for 3  n  7

Use the binomial theorem to write out the first four terms of the given binomial. (x² + 1) ¹⁷

Find .

Find the sum of the given series.

Use the binomial theorem to expand the given binomial. (t + 2) ⁴

Complete the rewriting of the given series using the new index as indicated.

Write the first five terms of the arithmetic sequence whose nth term is given. a_n = -3 + (n - 2) (-3)

Find .

Evaluate .

Write the given series in summation notation. Use the index i, and let i begin at 1. ln(9) + ln(10) + ln(11)

Write a formula for the nth term of the given geometric sequence. 3, -6, 12, ...

Find the sum of the given geometric series.

List the first four terms of the given sequence and match your result to the correct answer below. c_n = (-1) ⁿ(-2n + 3) ²

Write a formula for the nth term of the given arithmetic sequence. 4, 10, 16, 22, 28, . . .

Find the sum of the given infinite geometric series.

List all terms of the finite sequence a_n = 6n + 2 for 1 ≤ n ≤ 5.

Find the common difference of an arithmetic sequence if the first term is -9 and the seventh term is -39.

Suppose a deposit of $500 is made at the beginning of each year for 15 years into an account that pays 9% compounded annually. What is the amount of this annuity at the end of the 15^th year?

Each time an aluminum beverage can is recycled, some amount of the material is lost due to a variety of reasons. If each recycling step is 90% efficient, what percent of the original material remains if a can is recycled 6 times? Round to the nearest tenth of a percent.

Exam 14: Section 1: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Write a formula for the general term of the given sequence and match your result to the correct answer below. -2, -1, 0, 1, 2, ...

List all terms of the given finite sequence and match your result to the correct answer below. cn = (-1) n-3 for 3  n  7

Use the binomial theorem to write out the first four terms of the given binomial. (x2 + 1) 17

Find .

Find the sum of the given series.

Use the binomial theorem to expand the given binomial. (t + 2) 4

Complete the rewriting of the given series using the new index as indicated.

Write the first five terms of the arithmetic sequence whose nth term is given. an = -3 + (n - 2) (-3)

Find .

Evaluate .

Write the given series in summation notation. Use the index i, and let i begin at 1. ln(9) + ln(10) + ln(11)

Write a formula for the nth term of the given geometric sequence. 3, -6, 12, ...

Find the sum of the given geometric series.

List the first four terms of the given sequence and match your result to the correct answer below. cn = (-1) n(-2n + 3) 2

Write a formula for the nth term of the given arithmetic sequence. 4, 10, 16, 22, 28, . . .

Find the sum of the given infinite geometric series.

List all terms of the finite sequence an = 6n + 2 for 1 ≤ n ≤ 5.

Find the common difference of an arithmetic sequence if the first term is -9 and the seventh term is -39.

Suppose a deposit of $500 is made at the beginning of each year for 15 years into an account that pays 9% compounded annually. What is the amount of this annuity at the end of the 15th year?

Each time an aluminum beverage can is recycled, some amount of the material is lost due to a variety of reasons. If each recycling step is 90% efficient, what percent of the original material remains if a can is recycled 6 times? Round to the nearest tenth of a percent.

List all terms of the given finite sequence and match your result to the correct answer below. c_n = (-1) ^n-³ for 3  n  7

Use the binomial theorem to write out the first four terms of the given binomial. (x² + 1) ¹⁷

Use the binomial theorem to expand the given binomial. (t + 2) ⁴

Write the first five terms of the arithmetic sequence whose nth term is given. a_n = -3 + (n - 2) (-3)

List the first four terms of the given sequence and match your result to the correct answer below. c_n = (-1) ⁿ(-2n + 3) ²

List all terms of the finite sequence a_n = 6n + 2 for 1 ≤ n ≤ 5.

Suppose a deposit of $500 is made at the beginning of each year for 15 years into an account that pays 9% compounded annually. What is the amount of this annuity at the end of the 15^th year?