Name
6-1
Class
Date
Practice
Form K
Arithmetic and Geometric Sequences
Describe a pattern in each sequence. What are the next two terms of each sequence?
1. 3, 7, 11, 15, …
2. 1, 3, 9, 27, …
3. 32, –16, 8, –4, …
4. 24, 22, 20, 18, …
5. –13, –7, –1, 5, …
6. 4, 20, 100, 500, …
Tell whether the sequence is arithmetic. If it is, identify the common difference.
7. 3, 9, 15, 21, …
8. 1, 3, 6, 10, …
9. 2, 4, 12, 48, …
10. 25, 21, 17, 13, …
Tell whether the sequence is geometric. If it is, identify the common ratio.
11. 5, 10, 20, 40, …
12. 7, 13, 19, 25, …
13. 160, –80, 40, –20, …
14. 12, 9, 6, 3, …
Pearson Texas Algebra I
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
6-1
Class
Practice (continued)
Date
Form K
Arithmetic and Geometric Sequences
Write the explicit formula for the nth term of each arithmetic sequence. Then find
the sixth term of each sequence.
15. 9, 16, 23, 30, …
16. 5, 1, –3, –7, …
17. 𝑓(1) = 3, 𝑑 = 5
18. 𝑓(1) = 9, 𝑑 = −2.5
Write the explicit formula for the nth term of each geometric sequence. Then find
the seventh term of each sequence.
19. 3, 12, 48, 192, …
20. 7, −14, 28, −56, …
21. 𝑓(1) = 81, 𝑟 = −3
22. 𝑓(1) = 7, 𝑟 = 5
23. Writing Matthew is given a $25 music gift card for his birthday. He downloads one song and
the value of the gift card is $23.50. After two downloads, its value is $22. Write an explicit
formula to represent the remaining value on the card as an arithmetic sequence. What is the
value of the gift card after 10 downloads?
24. Open-Ended. Write an arithmetic sequence that has 𝑓(1) = 4. Identify the common
difference.
Pearson Texas Algebra I
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.