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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:   sequence of n numbers :

 

harmonic progression formula in algebra mathsmath harmonic progression formula

 

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

the harmonic mean of two numbers in algebra maths


The Harmonic Mean of n non-zero numbers     sequence of n munbers harmonic progression algebra math     is:

 

harmonic mean of n non-zero numbers in algebra math


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