The sum of n consecutive integers is divisible by n for some n>1. For which n is this always true? <spanclass=′latex−bold′>(A)</span>even n<spanclass=′latex−bold′>(B)</span>odd n divisible by 3<spanclass=′latex−bold′>(C)</span>odd n<spanclass=′latex−bold′>(D)</span>prime n<spanclass=′latex−bold′>(E)</span>no such n exists