1999 AHSME Problems/Problem 13

Define a sequence of real numbers $a_1$ , $a_2$ , $a_3$ , $\dots$ by $a_1 \equal{} 1$ (Error making remote request. No response to HTTP request) and $a_{n\plus{}1}^3 \equal{} 99a_n^3$ (Error making remote request. No response to HTTP request) for all $n \ge� 1$ (Error making remote request. No response to HTTP request). Then $a_{100}$ equals

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

Page

Toolbox

Search

1999 AHSME Problems/Problem 13