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1987 AMC 12 #9 - Arithmetic Sequence

Source:

December 31, 2011
ratioarithmetic sequencealgebrasystem of equationsAMC

Problem Statement

The first four terms of an arithmetic sequence are a,x,b,2xa, x, b, 2x. The ratio of aa to bb is
<spanclass=′latex−bold′>(A)</span> 14<spanclass=′latex−bold′>(B)</span> 13<spanclass=′latex−bold′>(C)</span> 12<spanclass=′latex−bold′>(D)</span> 23<spanclass=′latex−bold′>(E)</span> 2 <span class='latex-bold'>(A)</span>\ \frac{1}{4} \qquad<span class='latex-bold'>(B)</span>\ \frac{1}{3} \qquad<span class='latex-bold'>(C)</span>\ \frac{1}{2} \qquad<span class='latex-bold'>(D)</span>\ \frac{2}{3} \qquad<span class='latex-bold'>(E)</span>\ 2
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