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Sum Arithmetic Progression

Source: 1964 AHSME Problem 28

August 23, 2013
arithmetic sequenceAMC

Problem Statement

The sum of nn terms of an arithmetic progression is 153153, and the common difference is 22. If the first interm is an integer, and n>1n>1, then the number of possible values for nn is:
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 3<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 5<spanclass=′latex−bold′>(E)</span> 6 <span class='latex-bold'>(A)</span>\ 2\qquad<span class='latex-bold'>(B)</span>\ 3\qquad<span class='latex-bold'>(C)</span>\ 4\qquad<span class='latex-bold'>(D)</span>\ 5\qquad<span class='latex-bold'>(E)</span>\ 6
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