Difference between revisions of "2013 Mock AIME I Problems/Problem 15"
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| − | + | == Problem == | |
| + | Let <math>S</math> be the set of integers <math>n</math> such that <math>n | (a^{n+1}-a)</math> for all integers <math>a</math>. Compute the remainder when the sum of the elements in <math>S</math> is divided by <math>1000</math>. | ||
| + | |||
| + | == Solution == | ||
| + | <math>\boxed{857}</math>. | ||
| + | |||
| + | == See Also == | ||
| + | *[[2013 Mock AIME I Problems]] | ||
| + | *[[2013 Mock AIME I Problems/Problem 14|Preceded by Problem 14]] | ||
| + | *Followed by <math>\textbf{Last Problem}</math> | ||
Latest revision as of 15:14, 1 August 2024
Problem
Let 
be the set of integers 
such that 
for all integers 
. Compute the remainder when the sum of the elements in is divided by 
.
Solution
.
See Also
- 2013 Mock AIME I Problems
- Preceded by Problem 14
- Followed by
