1965 AHSME Problems/Problem 24

Revision as of 13:52, 16 July 2024 by Tecilis459 (talk | contribs) (Add statement & Unify answer)

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

$\boxed{E}$