MathDB
1997 AJHSME #19 - Arithmetic Series with Fractions

Source:

June 30, 2011
AMC

Problem Statement

If the product 32⋅43⋅54⋅65⋅…⋅ab=9\dfrac{3}{2}\cdot \dfrac{4}{3}\cdot \dfrac{5}{4}\cdot \dfrac{6}{5}\cdot \ldots\cdot \dfrac{a}{b} = 9, what is the sum of aa and bb?
<spanclass=′latex−bold′>(A)</span> 11<spanclass=′latex−bold′>(B)</span> 13<spanclass=′latex−bold′>(C)</span> 17<spanclass=′latex−bold′>(D)</span> 35<spanclass=′latex−bold′>(E)</span> 37<span class='latex-bold'>(A)</span>\ 11 \qquad <span class='latex-bold'>(B)</span>\ 13 \qquad <span class='latex-bold'>(C)</span>\ 17 \qquad <span class='latex-bold'>(D)</span>\ 35 \qquad <span class='latex-bold'>(E)</span>\ 37
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