2002 AIME I Problems/Problem 4
Problem
Consider the sequence defined by for . Given that , for positive integers and with , find .
Solution
. Thus,
Which is
We cross-multiply to get
Thus is an integer less than 29. We try to get . .
See also
2002 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |