Talk:Harmonic progression (mathematics)

What does this mean?

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

Harmonic progression

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

marked 'finite harmonic series never sum to an integer' with "Dubious" template

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

{\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]

Sum of "n" Terms in an HP

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]