Name:
Class:
Topic:
Date:
Main Ideas/Questions:
Notes:
Arithmetic
Sequences
Common
difference
Determine whether the following represent arithmetic sequences. If so, identify the
common difference.
Identifying an
arithmetic
sequence
1. 5, 8, 11, 14, 17…
2. 1, 3, 6, 10, 15…
3. 65, 60, 55, 50, 45…
4. 5.7, 5.9, 6.1, 6.3…
5. 1, 0, -1, 0, 1…
6. 13.5, 17, 20.5, 24…
Given the arithmetic sequence, find the next three terms.
7. 5, 3, 1, -1, _____, ______, _______
Continuing
arithmetic
sequences
8. 11, 14, 17, 20, ______, _______, _______
9. -14, -8, -2, 4, ______, _______, _______
10. -6, -18, -30, -42, _______, _______, ________
Arithmetic
sequence
formula
Examples:
Write the rule
for the nth
term, then
find a68.
The nth term of an arithmetic sequence can be found using the following
formula:
11. 60, 68, 76…
12. 103, 84, 65…
Main Ideas/Questions
Notes
13. -58, -35, -12…
14. 73, 44, 15…
15. -6, -18, -30…
16. 101, 90, 79…
𝟏 𝟓 𝟑
17. 𝟐 , 𝟖 , 𝟒 …
18. 42, 49, 56…
19. -9, -5, -1…
20. 𝟗 , 𝟑 , 𝟗 …
𝟐 𝟏 𝟒
21. Edgar is getting better at math. On his first test, he earns a
Real Life Application
50. On his next four tests, he earns a 53, 56, 59, and 62,
and after that, his test grades continue to improve in this
pattern. If he takes 20 tests, what will his score be on his
20th test?
Name: _____________________________________ Unit 11: Relations and Functions
Date:_______________________
Class: ________ Homework 1: Arithmetic Sequences
Determine whether the following represent arithmetic sequences. If so, identify the common difference.
1. -5, 1, 6, 11, 16…
2. 28, 25, 22, 19, 16, …
3. -7, 0, 7, 14, 21…
4. 55, 60, 65, 70, 75…
5. − , − , −1, − , − …
Given the Arithmetic Sequence, find the next three terms.
7. -4, -7, -10, _____, _____, _____.
8. -14, -4, 6, _____, _____, _____.
10. -12, -1, 10, _____, _____, _____.
11. − , − , −1, _____, _____, _____.
6. -50, -56, -62, -68, -74,…
9. 11, 16, 21, _____, _____, _____.
12. 7, 4, 1, _____, _____, _____.
Write the rule for the nth term, and then find a7.
13. -12, -18, -24
14. -6, -2, 2
15. 12, 45, 78
16. 21, 25, 29
18. -21, -32, -43
17. − , −1, −