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Difference between revisions of "1965 AHSME Problems/Problem 24"
(Add statement & Unify answer)
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Option E: 11
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== Problem ==
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Given the sequence <math>10^{\frac {1}{11}},10^{\frac {2}{11}},10^{\frac {3}{11}},\ldots,10^{\frac {n}{11}}</math>,
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the smallest value of n such that the product of the first <math>n</math> members of this sequence exceeds <math>100000</math> is:
 +
 
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<math>\textbf{(A)}\ 7 \qquad
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\textbf{(B) }\ 8 \qquad
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\textbf{(C) }\ 9 \qquad
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\textbf{(D) }\ 10 \qquad
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\textbf{(E) }\ 11 </math> 
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== Answer ==
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<math>\boxed{E}</math>

Revision as of 12:52, 16 July 2024

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:

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

Answer

$\boxed{E}$

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