Re: induction why is this wrong?

Actualy I did it incorrectly. Here is my second try.
I think this is correct. Don't hesitate to tear it apart.

4.P(n): F(n)<G(n)
P(1): F(1)<G(1)=(2*1-1)<(2*1)
=1<2 True
Assume P(n), that F(n)<G(n) Prove for P(n+1)
Proof:	F(n+1)=F(n)*(2n+1)
=(2n-1)(2n+1)
= 4n^2- 4n-1<G(n)*(2n+2)
= 4n^2- 4n-1<(2n)*(2n+2)
=4n^2- 4n-1<(4n^2+2n)