Larson_Calculus_10e ch09sec01
MULTIPLE CHOICE
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.
3. Write the first three terms of the sequence.
a.
b.
c.
d.
e.
4. Match the sequence with its graph.
a.
d.
b.
e.
c.
5. Graph the sequence .
a.
d.
b.
e.
c.
6. Match the sequence with its graph.
a.
d.
b.
e.
c.
7. Match the sequence with its graph.
a.
d.
b.
e.
c.
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.
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
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