Harmonic Progression

A Harmonic Progression (HP) is is a series of terms where the reciprocals of the terms are in Arithmetic Progression (AP).

1.The general form of an HP is 1/a, 1/(a+d), 1/(a+2d)>, 1/(a+3d), .....

2.The nth term of a Harmonic Progression is given by
tn=1/(nth term of the corresponding arithmetic progression )

3.In the following Harmonic Progression: :

4.The Harmonic Mean (HM) of two numbers a and b is

The Harmonic Mean of n non-zero numbers is:

harmonic mean of n non-zero numbers in algebra math

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