An interesting summation - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-25T08:33:13Z http://mathoverflow.net/feeds/question/120852 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120852/an-interesting-summation An interesting summation Danne 2013-02-05T11:09:48Z 2013-02-05T11:11:53Z <p>I 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.</p>