Name:___________________________Date:_________________ Period_________
Algebra 1
3.5 HW Practice
Arithmetic Sequences as Linear Functions
Determine whether each sequence is an arithmetic sequence. Write yes or no, then explain.
1. 10, 15, 25, 40, …
4. -5, -3, -1, 1, …
2. 15, 13, 11, 9, …
5. -6, -5, -3, 0, …
3. 7, 10, 13, 16, …
6. -9, -12, -15, -18, …
Find the next three terms of each arithmetic sequence.
7. 3, 7, 11, 15, _____, _____, _____, …
10. -2, -5, -8, -11, _____, _____, _____, …
8. 22, 20, 18, 16, _____, _____, _____, …
11. 16, 7, -2, -11, _____, _____, ______, …
9. -13, -11, -9, -7, _____, ______, ______, …
12. 2.5, 5, 7.5, 10, _____, ______, ______, …
Write an equation for the nth term of each arithmetic sequence.
Use the formula
13. 9, 13, 17, 21, …
an  a1   n  1  d
14. -5, -2, 1, 4, …
15. 57, 44, 31, 18, …
16. Lena deposited $115.00 in a savings account. Each week thereafter, she deposits $35.00 into the account.
a. Write a function to represent the total amount Lena has deposited for any particular number of weeks
after her initial deposit.
b. How much has Lena deposited 30 weeks after her initial deposit?
c. How many weeks have passed if there is $535 in the savings account?
17. Tamika is stacking boxes of tissues for a store display. Each row of tissues has 2 fewer boxes than the
row below. The first row has 23 boxes of tissues.
a. Write a function to represent the arithmetic sequence.
b. How many boxes will there be in the tenth row?
c. Which row has 13 boxes of tissues?