1965 AHSME Problems/Problem 24

Problem

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 $100000$ is:

$\textbf{(A)}\ 7 \qquad \textbf{(B) }\ 8 \qquad \textbf{(C) }\ 9 \qquad \textbf{(D) }\ 10 \qquad \textbf{(E) }\ 11$

Solution

$\boxed{\textbf{(E)}}$

1965 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
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1965 AHSME Problems/Problem 24

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