Mock AIME 2 2006-2007 Problems/Problem 5
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Problem
Given that and find .
Solution
Multiplying both sides of the equation by , we get
and subtracting the original equation from this one we get
Using the formula for an infinite geometric series, we find
Rearranging, we get
Thus , and the answer is .
See also
Mock AIME 2 2006-2007 (Problems, Source) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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