2006 AMC 10B Problems/Problem 18
Revision as of 14:03, 2 August 2006 by Xantos C. Guin (talk | contribs) (added link to previous and next problem)
Problem
Let be a sequence for which
, , and for each positive integer .
What is ?
Solution
Looking at the first few terms of the sequence:
Clearly, the sequence repeats every 6 terms.
Since ,