Re: induction why is this wrong?

What if it were to show that F(n) is less then G(n) for all n=3D>1.

4.Inductive proof that F(n)<G(n),	 n=991
P(n): F(n)<G(n)
P(1): F(1)<G(1)=3D(2*1-1)<(2*1)
=3D1<2 True
Assume P(n) Prove for P(n+1)
Proof:	F(n+1)G(n+1)=3DF(n)*(2n+1)*G(n)*(2n+2)
=3DF(n)(2n+1)(2n+2)<G(2n+2)
=2E..

Can point out the incorrect assumptions here?