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2008 AMC 10BProblem 13P11-15~2 minPrint
Sequences & SeriesApply an identity: SFFT, sum of squares, difference of cubes, Vieta

For each positive integer nn , the mean of the first nn terms of a sequence is nn . What is the 2008th term of the sequence?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.