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Difference between revisions of "1965 AHSME Problems/Problem 24"

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\textbf{(E) }\ 11  </math>   
 
\textbf{(E) }\ 11  </math>   
  
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== Answer ==
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== Solution ==
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<math>\boxed{\textbf{(E)}}</math>
  
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<math>\boxed{E}</math>
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== See Also ==
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{{AHSME 40p box|year=1965|num-b=23|num-a=25}}
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{{MAA Notice}}
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[[Category:Intermediate Algebra Problems]]

Revision as of 19:09, 18 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:

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

Solution

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

See Also

1965 AHSC (Problems • Answer Key • Resources)
Preceded by
Problem 23 		Followed by
Problem 25
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40
All AHSME Problems and Solutions

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