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## Homework Statement

We are asked to try and prove the values n where n

^{2}< 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 5

^{2}= 25 < 2

^{5}=32 as 25<32. I then started simple mathematical induction off by assuming that n

^{2}<2

^{n}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?

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