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 n^th term of an H.P

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