1999 AHSME Problems/Problem 13
Define a sequence of real numbers ,
,
,
by $a_1 \equal{} 1$ (Error compiling LaTeX. Unknown error_msg) and $a_{n\plus{}1}^3 \equal{} 99a_n^3$ (Error compiling LaTeX. Unknown error_msg) for all $n \ge� 1$ (Error compiling LaTeX. Unknown error_msg). Then
equals