Math 1
Arithmetic Sequences Review
1.
Name_________________________
Find the explicit formula for the nth term in each sequence:
0
-4
1
0
2
4
3
8
4
12
5
16
...
...
n
Explicit formula for an 
Simplify your equation from above. _______________________________________
Find a recursive formula:
2.
Find the explicit formula for the nth term in each sequence:
0
11
1
5
2
-1
3
-7
4
-13
5
-19
...
...
n
Explicit formula for an 
Simplify your equation from above. _______________________________________
Find a recursive formula:
Write down the first 4 terms of the arithmetic sequence given the following information:
3.
a1  1
an  21  ( 2)(n  1)
4.
______, ______, ______, ______
______, ______, ______, ______
an  an 1  14
Find the missing terms of the following arithmetic sequences.
5.
-13, _______, _______, _______, _______, -53
6.
______, ______, 4, ______, ______, ______, 16
7.
______, 17, ______, ______, ______, 29, ______
Find the explicit formula and then find the indicated term in the sequence.
find a47
8.
4, 7, 10, 13, . . .
10.
100, 100.5, 101, 101.5, . . .
find a98 11.
9.
-50, -39, -28, -17, . . . find a36
-31, -27, -23, -19, . . . find a53
12.
Write the explicit and recursive formulas with the following information:
d = 7 and a25  173
13.
Which term of -7, -4, -1, … is 1061?
14.
Which term of 25, 17, 9, … is -3887?
15.
Which term of 100, 107, 114, … is 709?
16.
Find the average rate of change from x = 2 to x = 4.
x
1
2
3
4
y
5.6
24.3
18.2
17.9
17.
Demetrius is working a part time job after school and on the weekends. He gets paid $30 at the
beginning of his shift and $1.50 for every magazine he sells.
a. List the first six terms of Demetrius’s pay for the day based on the number of magazines sold.
________, ________, ________, ________, ________, ________
b. What would a1 represent in this situation?
c. Write a recursive formula that models Demetrius’s pay.
d. Write an explicit formula that models Demetrius’s pay.
e. Simplify you explicit formula from Part d.
f. Which formula would be best to use to answer the following question: How much money will
Demetrius get paid if he sells 126 magazines in a day? Solve it.
g. How many magazines did Demetrius sell if he got paid $415.50 for a day of work?