# Math Help - Square and Cube Induction Proof

1. ## Square and Cube Induction Proof

Hey all, some help with the following proof would be appreciated:

For all integers k >= 2, k^2 < k^3

I believe induction can be used here. Thanks a bunch!

2. divide by k^2 on both sides.

1<k.

Since k>=2, this will always hold true.

3. The actual proof, of course, would go the other way:
Since $k\ge 2$, $k> 1$. Now multiply on both sides by the positive number $k^2$.