Thread: Proving an inequation with induction

Hi, I need help with this simple (I think) inequality:
I need to prove with induction that for each natural number n the following inequation is true: (see the "small" image below)

I tried to use the Latex system but I keep getting errors for some reason...

Thanks in advance

The LaTeX code:
[TEX]\left( {\frac{{n + 1}}{4}} \right)^n \leqslant n![/TEX]
gives


HINT:

Thanks, I hope that this trick is going to help me.