Difference between revisions of "Mock AIME 1 Pre 2005 Problems/Problem 4"
(New page: == Problem == When <math>1 + 7 + 7^2 + \cdots + 7^{2004}</math> is divided by <math>1000</math>, a remainder of <math>N</math> is obtained. Determine the value of <math>N</math>. == Solut...) |
(No difference)
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Revision as of 16:36, 21 March 2008
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 | ||
