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Thursday, February 7, 2019

Problem of the Week 2-7-19: Upper Bound of a Sum [Algebra]

Check out this Advanced Knowledge Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!


Solution below.

Solution


Video


1 comment:

  1. Alternatively, one can use an integral estimate:

    sum_{n=2}^{k} (1/n^2) \leq int_{1}^{k} (1/x^2) dx =1-1/k < 2/3 for k \geq 2.

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