MathDB

2

Part of 1986 Flanders Math Olympiad

Problems(1)

easy ineq

Source: flanders '86

9/27/2005
Prove that for integer nn we have: n!≤(n+12)nn! \le \left( \frac{n+1}{2} \right)^n (please note that the pupils in the competition never heard of AM-GM or alikes, it is intended to be solved without any knowledge on inequalities)
inequalitiesinduction