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Sequences and Series

Harmonic Mean (H.M.)

If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other two.

Example:

1/3, 1/7, 1/11 are in H.P., then 1/7 is the middle term. Hence 1/7 is the harmonic mean between 1/3 and 1/11.

To find the harmonic mean between two given quantities

Let H be the harmonic mean between the quantities a and b.

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	Introduction
	Sequences and Series
	Arithmetic Progression
	Some Properties of A.P.
	Arithmetic Mean (A.M.)
	Geometric Progressions (G.P.)
	Harmonic Progression (H.P.)
	Harmonic Mean (H.M.)
	To insert n Harmonic Means between two given quantities
	Arithmetic Geometric Series
	Sigma Notation
	General Series
	Summary

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