Answer
Neither arithmetic or geometric.
Work Step by Step
You have the sequence 4,9,16,25. You have to determine if it is an arithmetic or geometric sequence:
Arithmetic you have to find the common difference:
9-4=5
25-16=9
There is no common difference so this is not arithmetic.
Geometric you have to find the common ratio:
r=$\frac{9}{4}$=$\frac{9}{4}$
r=$\frac{25}{16}$=$\frac{25}{16}$
There is no common ratio. So the sequence is neither geometric or arithmetic.