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Arithmetic Progressions

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December 30, 2005
AMCAMC 12arithmetic sequence

Problem Statement

If the sum of the first 10 terms and the sum of the first 100 terms of a given arithmetic progression are 100 and 10, respectively, then the sum of first 110 terms is: (A) 90(B) −90(C) 110(D) −110(E) −100\text{(A)} \ 90 \qquad \text{(B)} \ -90 \qquad \text{(C)} \ 110 \qquad \text{(D)} \ -110 \qquad \text{(E)} \ -100
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