Mock AIME 2 2006-2007 Problems/Problem 6
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,
.
See Also
Mock AIME 2 2006-2007 (Problems, Source) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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