I know I have to prove this using induction, but am having some problems.(adsbygoogle = window.adsbygoogle || []).push({});

show n! > n^2 for all n >= 4

what I have so far

1) n=4; 4^2=16 < 4! = 4*3*2*1=24; 16 < 24

2) show (n+1)! > (n+1)^2

something a long the lines of..

(n+1)! = (n+1)*n!

> (n+1)*n^2

.. then what, can I just say (n+1)n^2 > (n+1)^2? or am I missing a step or 2..

thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Induction problem

**Physics Forums | Science Articles, Homework Help, Discussion**