Difference between revisions of "Mock AIME 1 Pre 2005 Problems/Problem 13"
Rdj5933mile5 (talk | contribs) (Created page with '=Solution= First we consider the fact that <math> 7R_{n} +2R_{n-1}-9R_{n-2}= 64 </math> Now, consider the fact that <math>S= \frac{R_0}{1} +\frac{R_1}{2} +\frac{R_2}{4} + \f…') |
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Revision as of 14:12, 26 March 2011
Solution
First we consider the fact that
Now, consider the fact that
Thus,
and
and
Adding these together we get that
Since 420 and 23 are relatively prime we find that the answer is