# Difference between revisions of "Manuals/calci/HARMONICSERIES"

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==References== | ==References== | ||

[https://en.wikipedia.org/wiki/Harmonic_series_(mathematics) Harmonic series] | [https://en.wikipedia.org/wiki/Harmonic_series_(mathematics) Harmonic series] | ||

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+ | [[Z_API_Functions | List of Main Z Functions]] | ||

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+ | [[ Z3 | Z3 home ]] |

## Revision as of 06:19, 9 March 2017

**HARMONICSERIES (Start,Numbers,OnlyNth)**

- are any positive integer .
- is the number of the series.
- 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

## See Also

## References