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? 68.173.113.106 ( talk) 00:12, 5 March 2012 (UTC) reply

Talk on harmonic progression in mathematics GKWILLIAM ( talk) 17:32, 28 July 2017 (UTC) reply

This is obviously false, as non-zero constant sequences are harmonic sequences and constant integer sequences sum to integers. I think it should say finite harmonic series of distinct unit fractions, as the lemma the source seems to be a generalization of is about sums of consecutive unit fractions. However I don't know the language the source is written in. Ninjamin ( talk) 19:52, 12 September 2019 (UTC) reply

Using the German synopsis at the end the quoted source, I was able to verify my guess (or a very slight variation of it). It says, if a, d and n are positive integers, then ${\displaystyle {\frac {1}{a}}+{\frac {1}{a+d}}+\cdots +{\frac {1}{a+nd}}}$ is never an integer. I will adjust the article. Ninjamin ( talk) 09:44, 13 September 2019 (UTC) reply

What is reproduction 223.238.48.241 ( talk) 01:24, 7 January 2022 (UTC) reply

Why isn't the sum of n terms in a HP added.

it is 1/d * log{[2n+(2n-1)d]/[2a-d]} SYED BADIUDDIN ANAS ( talk) 11:36, 24 March 2024 (UTC) reply