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.
- 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 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:
- 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.
Examples
- HARMONICSERIES(3,10,4) = 0.3333333333333333
- HARMONICSERIES(189,20,18) = 9.947368421052632