3-5 Arithmetic Sequences as Linear Functions
Determine whether each sequence is an arithmetic sequence. Write yes or no.
Explain.
8. –3, 1, 5, 9, …
ANSWER: Yes; The common difference is 4.
9. ,…
ANSWER: No; The difference between terms is not constant.
10. –10, –7, –4, 1, …
ANSWER: No; The difference between terms is not constant.
11. –12.3, –9.7, –7.1, –4.5, …
ANSWER: Yes; The common difference is 2.6.
Find the next three terms of each arithmetic sequence.
12. 0.02, 1.08, 2.14, 3.2, …
ANSWER: 4.26, 5.32, 6.38
13. 6, 12, 18, 24, …
ANSWER: 30, 36, 42
14. 21, 19, 17, 15, …
ANSWER: 13, 11, 9
15. …
ANSWER: 16. ,…
ANSWER: 17. …
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ANSWER: Page 1
ANSWER: 3-5 Arithmetic Sequences as Linear Functions
17. …
ANSWER: Write an equation for the nth term of the arithmetic sequence. Then graph the first five terms in the
sequence.
18. –3, –8, –13, –18, …
ANSWER: a n = –5n + 2
19. –2, 3, 8, 13, …
ANSWER: a n = 5n – 7
20. –11, –15, –19, –23, …
ANSWER: a n = –4n – 7
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3-5 Arithmetic Sequences as Linear Functions
20. –11, –15, –19, –23, …
ANSWER: a n = –4n – 7
21. –0.75, –0.5, –0.25, 0, …
ANSWER: a n = 0.25n – 1
22. AMUSEMENT PARKS
Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they
had ridden 4 rides. They had ridden 6 rides after 3 hours.
a. Write a function to represent the arithmetic sequence.
b. Graph the function and determine the domain.
ANSWER: a. a(n) = 2n
b. D = {1, 2, 3, 4, ...}
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23. CCSS MODELING The table shows how Ryan is paid at his lumber yard job.
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3-5 Arithmetic Sequences as Linear Functions
22. AMUSEMENT PARKS
Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they
had ridden 4 rides. They had ridden 6 rides after 3 hours.
a. Write a function to represent the arithmetic sequence.
b. Graph the function and determine the domain.
ANSWER: a. a(n) = 2n
b. D = {1, 2, 3, 4, ...}
23. CCSS MODELING The table shows how Ryan is paid at his lumber yard job.
a. Write a function to represent Ryan’s commission.
b. Graph the function and determine the domain.
ANSWER: a. a(n) = 8n
b. D = {1, 2, 3, 4, ...}
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3-5 Arithmetic Sequences as Linear Functions
23. CCSS MODELING The table shows how Ryan is paid at his lumber yard job.
a. Write a function to represent Ryan’s commission.
b. Graph the function and determine the domain.
ANSWER: a. a(n) = 8n
b. D = {1, 2, 3, 4, ...}
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