# How do you determine whether the sequence #1^2, 2^2, 3^2, 4^2, 5^2,...# is arithmetic and if it is, what is the common difference?

##### 1 Answer

Feb 17, 2017

No, it is not arithmetic.

#### Explanation:

This is not arithmetic. Arithmetic would mean that a number,

This is not the case here. The difference between

While an arithmetic sequence would be of the form

The sequence above can be modeled graphically as a parabola, while any arithmetic sequence would be a straight line.

Hopefully this helps!