2012 AIME II Problems/Problem 11
Contents
Problem 11
Let , and for
, define
. The value of
that satisfies
can be expressed in the form
, where
and
are relatively prime positive integers. Find
.
Solution
After evaluating the first few values of , we obtain
. Since
,
. We set this equal to
, i.e.
. The answer is thus
.
Video Solution
https://www.youtu.be/zBKm3M71K4c&t=47s
See Also
2012 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
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