We are asked to try and prove the values n where n2 < 2(n) .
It asks us to prove it by Math Induction.
The Attempt at a Solution
I can see it works for n=0 and n=1 but not for n=2,3,4 . So I made my base step n=5 and showed that 52 = 25 < 25 =32 as 25<32. I then started simple mathematical induction off by assuming that n2<2n for n>5, and tried to prove it using (n+1)2<2(n+1) but can't seem to get that proven. Any suggested help on how to prove that?