New to the whole proof thing.
Trying to figure out that, for all integers $n$, if $n^2 + 3$ is even, then $n$ is odd.
Thank you for the help.
[Math] Proof: How to prove $n$ is odd if $n^2 + 3$ is even
discrete mathematicsproof-writing
discrete mathematicsproof-writing
New to the whole proof thing.
Trying to figure out that, for all integers $n$, if $n^2 + 3$ is even, then $n$ is odd.
Thank you for the help.
Best Answer
$n^2+3$ is even $\iff$ $\ n^2$ is odd $\iff$ $\ n$ is odd.