Sum of Squares
Source: AIME 2008II Problem 1
April 3, 2008
AMCAIMEalgebradifference of squaresspecial factorizationsarithmetic series
Problem Statement
Let N\equal{}100^2\plus{}99^2\minus{}98^2\minus{}97^2\plus{}96^2\plus{}\cdots\plus{}4^2\plus{}3^2\minus{}2^2\minus{}1^2, where the additions and subtractions alternate in pairs. Find the remainder when is divided by .