IMO Long List 1986 with n variables
Source:
August 29, 2010
inequalitiesinequalities proposed
Problem Statement
Given real numbers , define
M_1=\frac 1n \sum_{i=1}^{n} a_i , M_2=\frac{2}{n(n-1)} \sum_{1 \leq i
and that equality holds if and only if