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1971 AMC 12 Question 33

AMC12 · 1971 AMC 12

Question 33

If $P$ is the product of $n$ quantities in geometric progression, $S$ their sum, and $S'$ the sum of their reciprocals, then $P$ in terms of $S,$ $S',$ and $n$ is:
  1. $(SS')^{\frac{n}{2}}$
  2. $(\frac{S}{S'})^{\frac{n}{2}}$
  3. $(SS')^{n-2}$
  4. $(\frac{S}{S'})^n$
  5. $(\frac{S}{S'})^{\frac{n-1}{2}}$