506 Chapter 9: Infinite Series
9.1 Sequences
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Write the first five terms of the sequence.
a.
b.
c.
d.
e.
____ 2. Write the first five terms of the sequence.
a.
b.
c.
d.
e.
9.1 Sequences 507
____ 3. Write the first three terms of the sequence.
a.
b.
c.
d.
e.
508 Chapter 9: Infinite Series
____ 4. Match the sequence with its graph.
a. d.
b. e.
c.
9.1 Sequences 509
____ 5. Graph the sequence .
a. d.
b. e.
c.
510 Chapter 9: Infinite Series
____ 6. Match the sequence with its graph.
a. d.
b. e.
c.
9.1 Sequences 511
____ 7. Match the sequence with its graph.
a. d.
b. e.
c.
512 Chapter 9: Infinite Series
____ 8. Write the next two apparent terms of the sequence .
a.
b.
c.
d.
e.
____ 9. Determine the convergence or divergence of the sequence with the given nth term. If
the sequence converges, find its limit.
a. The sequence converges to –1.
b. The sequence converges to 0.
c. The sequence diverges.
d. The sequence converges to 1.
e. The sequence diverges to 1.
____ 10. Determine the convergence or divergence of the sequence with the given nth term. If
the sequence converges, find its limit.
a. The sequence diverges.
b. The sequence converges to 2.
c. The sequence converges to –1.
d. The sequence converges to 1.
e. The sequence converges to 0.
9.1 Sequences 513
____ 11. Write an expression for the nth term of the sequence .
a.
b.
c.
d.
e.
____ 12. Write an expression for the nth term of the sequence .
a.
b.
c.
d.
e.
____ 13. Consider the sequence whose nth term is given by where P
is the principal, is the account balance in dollars after n months, and r is the interest rate
compounded annually. Find the fourth term of the sequence if and . Round your
answer to two decimal places.
a. $9,296.08
b. $9,599.41
c. $9,396.38
d. $9,196.59
e. $9,236.29
____ 14. A deposit of $225 is made at the beginning of each month into an account at an
annual interest rate of 3% compounded monthly. The balance in the account after n months is
. Find the balance in the account after 4 years by computing the 48th
term of the sequence. Round your answer to two decimal places.
a. $11,488.17
b. $905.64
c. $9,172.05
d. $24,404.88
e. $1,818.08
514 Chapter 9: Infinite Series
____ 15. A government program that currently costs taxpayers $2.5 billion per year is cut back
by 30 percent per year. Write an expression for the amount budgeted for this program after n years.
a.
b.
c.
d.
e.
____ 16. A government program that currently costs taxpayers $3.5 billion per year is cut back
by 30 percent per year. Compute the budget after the fifth year. Round your answer to the nearest
integer.
a. $1,552,968,594
b. $272,160,000
c. $8,505,000
d. $1,146,880,000
e. $588,245,000
____ 17. If the rate of inflation is % per year and the average price of a car is currently
$40,000, the average price after n years is . Compute the average price after 6
years. Round your answer to two decimal places.
a. $32,301.59
b. $49,170.21
c. $248,400.00
d. $45,937.01
e. $231,600.00
9.1 Sequences 515
9.1 Sequences
Answer Section