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Thread: Sum of a sequence 1,2,2,3,3,3,4,4,4,4...

  1. #1
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    Sum of a sequence 1,2,2,3,3,3,4,4,4,4...

    how can you find the sum of the first 2010 terms of the sequence
    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, . . . .
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    Quote Originally Posted by Intsecxtanx View Post
    how can you find the sum of the first 2010 terms of the sequence
    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, . . . .
    Can you see how this relates the following series?

    1^2 + 2^2 + 3^2 + 4^2 + ...
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