MathDB
Easy problem

Source: Taiwan NMO 2006 oral test

March 21, 2006
number theory proposednumber theory

Problem Statement

Let AA be the sum of the first 2k+12k+1 positive odd integers, and let BB be the sum of the first 2k+12k+1 positive even integers. Show that A+BA+B is a multiple of 4k+34k+3.
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