MathDB
Inequality

Source: Greece National Olympiad 2002 , Juniors , Problem 4.

November 18, 2005
inequalitiesPutnaminductionfunction

Problem Statement

Prove that 1232002<(20032)2002.1\cdot2\cdot3\cdots 2002<\left(\frac{2003}{2}\right)^{2002}.