Answer
The sequence is geometric.
Work Step by Step
You have the sequence 2,8,32,128. You have to determine if it is an arithmetic or geometric sequence:
Arithmetic you have to find the common difference:
8-2=6
128-32=96
There is no common difference so this is not arithmetic.
Geometric you have to find the common ratio:
r=$\frac{8}{2}$=4
r=$\frac{128}{32}$=4
There is a common ratio, 4. So the sequence is geometric.
