Difference between revisions of "1996 USAMO Problems/Problem 1"
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Revision as of 13:32, 4 July 2013
Prove that the average of the numbers is .
First, as we omit that term. Now, we multiply by to get, after using product to sum, . This simplifies to . Since this simplifies to . We multiplied by in the beginning, so we must divide by it now, and thus the sum is just , so the average is , as desired.