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Name
8-2
Lesson Master
SKILLS
Objectives A and B
Questions on SPUR Objectives
See Student Edition pages 555–557 for objectives.
In 1–6, a sequence is described.
a. Find the first four terms.
b. Find the 10th term.
1.
{
t1 = 4
tn = 3tn-1 , for all integers n > 1
a.
b.
2. rn = n + 7
a.
3.
b.
{
b1 = – _34
bn = 2bn-1 - _14 , for all integers n ≥ 2
a.
b.
4. cn = n(n + 1)
a.
b.
5. Vn = 3 _12
( )
n-1
a.
b.
6. jn = –2 - 4(n - 1)
a.
b.
7. Write an explicit formula for the sequence defined in Question 1.
9. Write explicit and recursive formulas for the geometric sequence whose
first twelve terms are 6, 12, 24, 48, 96, 192, 284, 568, 1138, … .
372
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8. Write a recursive formula for the sequence defined in Question 5.
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Back to Lesson 8-2
Answer Page
Name
8-2
6-5B
page 2
PROPERTIES Objective D
In 10-15, identify the sequences in Questions 1–6, respectively, as
arithmetic (A), geometric (G), or neither (N).
10. Question 1
11. Question 2
12. Question 3
13. Question 4
14. Question 5
15. Question 6
USES Objective H
16. A particular car cost $28,000 new,
but depreciates 22% each year.
a. How much will the car be worth in its second year?
b. Write a recursive formula for the value of the car
in its nth year.
c. Write an explicit formula for the value of the car
in its nth year.
d. In what year will the value of the car first drop
below $5,000?
17. A rubber ball bounces 75% of its previous height.
Assume the ball is dropped from a height of 30 meters.
a. What is the maximum height of the ball after
it hits the ground for the first time?
b. Write a recursive formula for the maximum
height of the ball after its nth bounce.
Copyright © Wright Group/McGraw-Hill
c. Write an explicit formula for the maximum
height of the ball after its nth bounce.
d. After which bounce will the ball’s maximum
height be less than 1 meter?
Functions, Statistics, and Trigonometry
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