HARMONICSERIES (Start,Numbers,OnlyNth)

  • are any positive integer .
  • is the number of the series.
  • is the Nth term of the series.


  • 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.


  1. HARMONICSERIES(3,10,4) = 0.3333333333333333
  2. HARMONICSERIES(189,20,18) = 9.947368421052632

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Harmonic series