Manuals/calci/HARMONICSERIES

HARMONICSERIES (Start,Numbers,OnlyNth)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Start} are any positive integer .
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Numbers} is the number of the series.
$OnlyNth$ is the Nth term of the series.

Description

This sfunction displays the Harmonic series of the numbers.
A series is an expression with an infinite number of terms, like this:Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=1}^{\infty} \frac{1}{n} = 1+ \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....}
This is the divergent infinite series.
In HARMONICSERIES(Start,Numbers,OnlyNth),Start is the beginning number of the series, Numbers is number of the number in the series and OnlyNth is the nth term of the Harmonic Series.
Every term of the series after the first is the harmonic mean of the neighboring terms.
The phrase harmonic mean likewise derives from music.