Name: ________________________________
Block: __________
Arithmetic and Geometric Sequences Homework
Part 1: State whether the sequence is arithmetic, geometric, or neither.
Identify any common differences or common ratios.
A) 5, 10, 20, 40…
B) 5, 7, 9, 11….
C) 17, 14, 11, 8…
D)
E) 2, 10, 50, 250…
F) 216, 36, 6, 1…
G) 1, 1, 3, 3, 9, 9…
H) 81, 9, 1, . . .
I) -12, -20, -28, -36 …
J) 8, -8, 8, -8, 8, . . .
, 1, 4…
Name: ________________________________
Block: __________
1. In your own words, explain the difference between an arithmetic and a
geometric sequence?
2. Consider the geometric sequence 56, 28, 14, . . . .
What will be the next term? _______
3. Consider the sequence 16, 11, 6, 1, . . . .
What will be the 8th, 9th, and 10th terms? _______ ________ _______
4. Consider the sequence 3, 12, 48,. . . .
What will be the 5th term? _______
5. Consider the sequence -4, 0, 4, 8, . . .
a. Which term will be 40? _______
b. Is it possible for 400 to be a term? Why or why not?
6. Create your own sequence with a common ratio of -3. You must list the
first four terms of the sequence.