Grape-Eating Contest
Source: AIME 2009II Problem 4
April 2, 2009
calculusderivativeAMCAIME
Problem Statement
A group of children held a grape-eating contest. When the contest was over, the winner had eaten grapes, and the child in th place had eaten n\plus{}2\minus{}2k grapes. The total number of grapes eaten in the contest was . Find the smallest possible value of .