Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 6"
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*[[Mock AIME 2 2006-2007]] | *[[Mock AIME 2 2006-2007]] |
Revision as of 15:34, 3 April 2012
Problem
If and
find
Solution
We know from product to sum formulas we have:
Multiply by
:
Again use product to sum:
Finally, use sum to product on the rightmost terms in the numerator and denominator:
Thus,
.