quiz1 - Putnam Exam Seminar Fall 2010 Quiz 1 September 1...

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Putnam Exam Seminar Quiz 1 Fall 2010 September 1 Problem 1. Evaluate the infinite product Y n =2 n 3 + 1 n 3 - 1 . Problem 2. A function f is defined for all positive integers and satisfies f (1) = 2010 and f (1) + f (2) + · · · + f ( n ) = n 2 f ( n
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