Mock AIME 2 2006-2007 Problems/Problem 6
Revision as of 23:24, 31 May 2011 by Applepi2000 (talk | contribs)
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,
.