2013 Mock AIME I Problems/Problem 15: Difference between revisions
Created page with "soorriiii" |
m page was empty, so i added a see also section, statement of the problem, and statement of the answer |
||
| Line 1: | Line 1: | ||
== 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 14:14, 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
