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Post Closed as "off topic" by Andrej Bauer, Chris Godsil, Nik Weaver, Anthony Quas, Andy Putman
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I wonder if there is a simple closed form solution to the following sum: $\sum_{k = 1}^n \frac{(1\2)^k}{k}$? frac{(1/2)^k}{k}$? Wolfram Alpha expresses it in terms of the Lerch transcendent, but I wonder if there is a more simple formula? Thanks. |
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An interesting summationI wonder if there is a simple closed form solution to the following sum: $\sum_{k = 1}^n \frac{(1\2)^k}{k}$? Wolfram Alpha expresses it in terms of the Lerch transcendent, but I wonder if there is a more simple formula? Thanks.
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