Art of Problem Solving

1999 AHSME Problems/Problem 13: Difference between revisions

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==Problem==
==Problem==


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==Solution==
==Solution==
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==See Also==
==See Also==


{{AHSME box|year=1999|num-b=12|num-a=14}}
{{AHSME box|year=1999|num-b=12|num-a=14}}

Revision as of 19:50, 2 June 2011

Problem

Define a sequence of real numbers $a_1$, $a_2$, $a_3$, $\dots$ by $a_1 = 1$ and $a_{n\plus{}1}^3 = 99a_n^3$ (Error compiling LaTeX. Unknown error_msg) for all $n \geq 1$. Then $a_{100}$ equals

$\textbf{(A)}\ 33^{33} \qquad  \textbf{(B)}\ 33^{99} \qquad  \textbf{(C)}\ 99^{33} \qquad  \textbf{(D)}\ 99^{99} \qquad  \textbf{(E)}\ \text{none of these}$

Solution

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See Also

1999 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
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
All AHSME Problems and Solutions