Name
Date
LESSON
Class
Practice B
12-1 Introduction to Sequences
Find the first 5 terms of each sequence.
1. a 1 ⫽ 1, a n ⫽ 3 a n⫺1 1, 3, 9, 27, 81
4. a 1 ⫽ 1, a n ⫽ 6 ⫺ 2 a n⫺1 1, 4, ⫺2, 10, ⫺14
7. a n ⫽ n ⫺ 2 n ⫹ 1 ⫺2, 0, 4, 10, 18
2 1
10. a n ⫽ __
n⫺3
2. a 1 ⫽ 2, a n ⫽ 2 a n⫺1 ⫹ 1 ⫺ 5
2, 1, ⫺1, ⫺5, ⫺13
⫺2, 3, 8, 63, 3968
2 ⫺ a n⫺1
5. a 1 ⫽ ⫺1, a n ⫽ a n⫺1 ⫺ 1 2 ⫺ 3 6. a 1 ⫽ ⫺2, a n ⫽ _______
2
3
1, __
2, 0, 1, __
2 4
⫺1, 1, ⫺3, 13, 141
8. a n ⫽ n 2n ⫺ 1 9. a n ⫽ n 3 ⫺ n 2
1, 6, 15, 28, 45
0, 4, 18, 48, 100
11. a n ⫽ ⫺2 n⫺1
1, __
1
4, 2, 1, __
2 4
3. a 1 ⫽ ⫺2, a n ⫽ a n⫺1 2 ⫺ 1
12. a n ⫽ n 2 ⫺ 2n
1, ⫺2, 4, ⫺8, 16
⫺1, 0, 3, 8, 15
Write a possible explicit rule for the nth term of each sequence.
13. 8, 16, 24, 32, 40, …
a n ⫽ 8n
2 4 8 16 32
15. 3, 6, 11, 18, 27, …
a n ⫽ 0.1n 2
3 , __
3, __
3, ___
3 , ___
3,…
16. __
1
a n ⫽ 3 __
2
14. 0.1, 0.4, 0.9, 1.6, 2.5, …
an ⫽ n 2 ⫹ 2
17. ⫺2, 1, 4, 7, 10, …
18. 5, 1, 0.2, 0.04, 0.008, …
n
a n ⫽ 3n ⫺ 5
a n ⫽ 5 0.2 n⫺1
Solve.
19. Find the number of line segments in the
next two iterations.
31, 63
20. Jim charges $50 per week for lawn mowing
and weeding services. He plans to increase
his prices by 4% each year.
0RICE
a. Graph the sequence.
b. Describe the pattern.
Exponential
c. To the nearest dollar, how much will he
charge per week in 5 years?
$61 per week
9EAR
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c12-1_pr.indd 4
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