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Sum of the terms of a sequence

Source: Paraguayan National Olympiad 2009, Level 3, Problem 4

August 31, 2014
algebra proposedalgebra

Problem Statement

Let a1,a2,...,ana_1, a_2, ..., a_n be a sequence such that the arithmetic mean of the nn terms is nn. Consider n=2009n = 2009. Determine the sum of the 20092009 terms of the sequence.
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