Prove that 4^n>7n^2 for n>3

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- Feb 13th 2013, 10:23 AMraggie29Prove inequalities
Prove that 4^n

__>__7n^2 for n__>__3 - Feb 13th 2013, 10:37 AMPlatoRe: Prove inequalities
- Feb 13th 2013, 10:43 AMraggie29Re: Prove inequalities
Yes it is true for n=3 since, 4^n =64 and 7n^2 = 63

So yes it does followe the k+1 example is this correct? - Feb 13th 2013, 11:06 AMHallsofIvyRe: Prove inequalities
Yes, that is "proof by induction". If a statement, depending on n, is true when n= 3, and, whenever it is true for n= k, it is also true that n= k+1.