MathDB
Geometric Progression

Source: 1964 AHSME Problem 6

September 12, 2012
ratiogeometric sequenceAMC

Problem Statement

If x,2x+2,3x+3,…x, 2x+2, 3x+3, \dots are in geometric progression, the fourth term is:
<spanclass=′latex−bold′>(A)</span> −27<spanclass=′latex−bold′>(B)</span> −1312<spanclass=′latex−bold′>(C)</span> 12<spanclass=′latex−bold′>(D)</span> 1312<spanclass=′latex−bold′>(E)</span> 27{{ <span class='latex-bold'>(A)</span>\ -27 \qquad<span class='latex-bold'>(B)</span>\ -13\frac{1}{2} \qquad<span class='latex-bold'>(C)</span>\ 12\qquad<span class='latex-bold'>(D)</span>\ 13\frac{1}{2} }\qquad<span class='latex-bold'>(E)</span>\ 27 }
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