MathDB
Consecutive Integer Sums

Source: Problem #18 2016 AMC 10B, Problem #16 2016 AMC 12B

February 21, 2016
AMCAMC 10AMC 10 BAMC 122016 AMC 12B2016 AMC 10BAMC 12 B

Problem Statement

In how many ways can 345345 be written as the sum of an increasing sequence of two or more consecutive positive integers?
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 3<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 6<spanclass=latexbold>(E)</span> 7<span class='latex-bold'>(A)</span>\ 1\qquad<span class='latex-bold'>(B)</span>\ 3\qquad<span class='latex-bold'>(C)</span>\ 5\qquad<span class='latex-bold'>(D)</span>\ 6\qquad<span class='latex-bold'>(E)</span>\ 7