MathDB
easy ineq

Source: flanders '86

September 27, 2005
inequalitiesinduction

Problem Statement

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)
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