JEE Main & Advanced Mathematics Other Series Definition

Definition

Category : JEE Main & Advanced

A progression is called a harmonic progression (H.P.) if the reciprocals of its terms are in A.P.

 

Standard form : \[\frac{1}{a}+\frac{1}{a+d}+\frac{1}{a+2d}+....\]..

 

Example: The sequence \[1,\,\frac{1}{3},\,\frac{1}{5},\,\frac{1}{7},\,\frac{1}{9},...\] is a H.P., because the sequence 1, 3, 5, 7, 9, ….. is an A.P.

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