Harmonic Progression


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A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progression.

Note:

i) The series formed by the reciprocals of the terms of a geometric series is also a geometric series.

ii) There is no general method of finding the sum of a harmonic progression.

To find the nth term of an H.P

To find the nth term of an H.P, find the nth term of the corresponding A.P. obtained by the reciprocals of the terms of the given H.P. Now the reciprocal of the nth term of an A.P. will be the nth term of the H.P.



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