3 and 4 are all over this..............................1/4th is the 4th term........but the 3rd fraction............like a garbled pi.............................3 and 4..............as successive pairs...........again.......have a quantum leap with regards to their sums and products..........................

Harmonic series (mathematics)

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For the concept of the same name in music, see Harmonic series (music).

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In mathematics, the harmonic series is the divergent infinite series:

${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n}}=1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots }$

Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength. Every term of the series after the first is the harmonic mean of the neighboring terms; the phrase harmonic mean likewise derives from music.