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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |