SOLUTION: For all integers n, n² – 3n +7 is odd.

Algebra ->  Proofs -> SOLUTION: For all integers n, n² – 3n +7 is odd.      Log On


   

Question 911180: For all integers n, n² – 3n +7 is odd.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assume n is even.
n%5E2 is even (even number of times adding an even number)
3%2An is even
So then,
even - even + odd = even + odd = odd
.
.
.
Assume n is odd.
n%5E2 is odd (odd number of times adding an odd number)
3%2An is odd
odd - odd + odd = even + odd = odd
.
.
.
True.