2001 AIME II Problems/Problem 3
From AoPSWiki
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 • Resources) | ||
| Preceded by Problem 2 | Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
