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Even + Odd Counting Numbers

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February 16, 2008
arithmetic sequenceAMC 10

Problem Statement

What is the difference between the sum of the first 2003 2003 even counting numbers and the sum of the first 2003 2003 odd counting numbers? <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 2003<spanclass=′latex−bold′>(E)</span> 4006 <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 2 \qquad <span class='latex-bold'>(D)</span>\ 2003 \qquad <span class='latex-bold'>(E)</span>\ 4006
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