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AHSME 1950- part 3

Source:

July 20, 2008

Problem Statement

The sum to infinity of \frac{1}{7}\plus{}\frac {2}{7^2}\plus{}\frac{1}{7^3}\plus{}\frac{2}{7^4}\plus{}... is:
<spanclass=′latex−bold′>(A)</span> 15<spanclass=′latex−bold′>(B)</span> 124<spanclass=′latex−bold′>(C)</span> 548<spanclass=′latex−bold′>(D)</span> 116<spanclass=′latex−bold′>(E)</span> None of these<span class='latex-bold'>(A)</span>\ \frac{1}{5} \qquad <span class='latex-bold'>(B)</span>\ \dfrac{1}{24} \qquad <span class='latex-bold'>(C)</span>\ \dfrac{5}{48} \qquad <span class='latex-bold'>(D)</span>\ \dfrac{1}{16} \qquad <span class='latex-bold'>(E)</span>\ \text{None of these}
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