Thread: More Proofs

Prove for all N in Z, if N is odd if and only if N+2 is odd

Originally Posted by sderosa518

Prove for all N in Z, if N is odd if and only if N+2 is odd

The "if" part:

express N in the form 2k+1 and show that this makes N+2 in the same form.

The "only if" part:

express N+2 in the form 2k+1 and show that this makes N in the same form.