Difference between revisions of "Northeastern WOOTers Mock AIME I Problems/Problem 14"
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Revision as of 18:02, 8 August 2021
Problem 14
Consider three infinite sequences of real numbers: It is known that, for all integers , the following statement holds: The elements of are defined by the relation . Let Then, can be represented as a fraction , where and are relatively prime positive integers. Find .
Solution
From the given condition, we have: