MathDB
Odd Sums

Source: 2015 AMC 8 #14

November 25, 2015

Problem Statement

Which of the following integers cannot be written as the sum of four consecutive odd integers?
<spanclass=′latex−bold′>(A)</span> 16<spanclass=′latex−bold′>(B)</span> 40<spanclass=′latex−bold′>(C)</span> 72<spanclass=′latex−bold′>(D)</span> 100<spanclass=′latex−bold′>(E)</span> 200<span class='latex-bold'>(A)</span>\text{ 16}\qquad<span class='latex-bold'>(B)</span>\text{ 40}\qquad<span class='latex-bold'>(C)</span>\text{ 72}\qquad<span class='latex-bold'>(D)</span>\text{ 100}\qquad<span class='latex-bold'>(E)</span>\text{ 200}
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