using mathematical induction...
help please
thank you
It's a pity to use induction
n²+n+2 = (n+1)² - n + 1
n odd => (n+1)² even => (n+1)² - n + 1 even
n even => (n+1)² odd => (n+1)² - n + 1 even
By induction
Easy for n=0
If right for n then n²+n+2 even
(n+1)²+(n+1)+2 = n²+2n+1 + n + 3 = n²+n+2 +2n+2= n²+n+2 +2(n+1)