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1965 AMC 12 Question 24

AMC12 · 1965 AMC 12

Question 24

Given the sequence $10^{\frac{1}{11}},$ $10^{\frac{2}{11}},$ $10^{\frac{3}{11}},$ $\ldots,$ $10^{\frac{n}{11}},$ the smallest value of $n$ such that the product of the first $n$ members of this sequence exceeds $100{,}000$ is:
  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$