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## Homework Statement

I have to prove or disprove the following statement.

The product of an integer and its square is even

## Homework Equations

n

^{2}*n

n = 2k + 1 (Odd integers)[/B]

## The Attempt at a Solution

**I uploaded a photo of my proof. As you can see, I have proved that if n is an odd integer, the product of n squared and n will be odd as well. My question is what type of proof is this? I was thinking it was proof by counterexample but I wasn't sure if the correct terminology would be "disproof by counterexample". Or is it a proof by contradiction? Any help is appretiated : )**