Question

N is a whole number.

Prove that (2n - 1)² + 2 is always an odd number.
Input note: write your expression in the form 2(...) + 1 to clearly show this is an odd
number for all integer values of n.

Answer 1

(2n-1)^2 + 2

2 × something is always even

even - something is always odd

odd square is always odd

odd - even is always odd