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?
No, it is not arithmetic.
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!