MathDB
Indian RMO - Paper 2

Source: Problem 3

December 11, 2013
algebra unsolvedalgebra

Problem Statement

Consider the expression 20132+20142+20152++n22013^2+2014^2+2015^2+ \cdots+n^2 Prove that there exists a natural number n>2013n > 2013 for which one can change a suitable number of plus signs to minus signs in the above expression to make the resulting expression equal 99999999