Mock AIME 6 2006-2007 Problems/Problem 8
Problem
A sequence of positive reals defined by ,
, and
for all integers
. Given that
and
, find
.
Solution
And the sequence repeats every 6 steps.
Therefore,
Since, and
~Tomas Diaz. orders@tomasdiaz.com
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.