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1997 AMC 8 Question 19

AMC8 · 1997 AMC 8

Question 19

If the product $$
\dfrac{3}{2}\cdot \dfrac{4}{3}\cdot \dfrac{5}{4}\cdot \dfrac{6}{5}\cdot \ldots\cdot \dfrac{a}{b} = 9,
$$ what is the sum of $a$ and $b?$
  1. $11$
  2. $13$
  3. $17$
  4. $35$
  5. $37$