Difference between revisions of "2001 AIME II Problems/Problem 3"
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Revision as of 20:34, 4 July 2013
Problem
Given that
find the value of .
Solution
We find that by the recursive formula. Summing the recursions
yields . Thus
. Since
, it follows that
See also
2001 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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