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Consecutive integers sum to 15

Source: AMC 12 2006A, Problem 8

February 5, 2006
arithmetic sequenceAMC

Problem Statement

How many sets of two or more consecutive positive integers have a sum of 15? <spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>5 <span class='latex-bold'>(A) </span> 1\qquad <span class='latex-bold'>(B) </span> 2\qquad <span class='latex-bold'>(C) </span> 3\qquad <span class='latex-bold'>(D) </span> 4\qquad <span class='latex-bold'>(E) </span> 5
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