2002 AIME I Problems/Problem 12
Problem
Let for all complex numbers , and let for all positive integers . Given that and , where and are real numbers, find .
Solution
Iterating we get:
From this, it follows that , for all . Thus
Thus .
See also
2002 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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