Mock AIME 1 Pre 2005 Problems/Problem 4
Problem
When is divided by
, a remainder of
is obtained. Determine the value of
.
Solution
By the geometric series formula, . Since
, by Fermat-Euler's Theorem, this is equivalent to finding
.
See also
Mock AIME 1 Pre 2005 (Problems, Source) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |