Quandaries
and Queries 

Name: Jose Who is asking: Teacher Question: n! > n^{2}. I will appreciate your help. 

Hi Jose, Let P(n) be the statement that n! > n^{2}. P(1) is false. Assume that you have checked out the validity of the statement P(n) for n = 4, 5, ..., k for some k > 4. Consider P(k+1):
Another tact would be to write (k+1)! = (k+1)k! and then show, by induction, that k! > k+1. Good luck with it. Penny 

