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Harmonic Sequence

KNOWING THE NTH TERM

the formula for a basic harmonic progression

Example 2:

2/3, 1/2, 2/5, 1/3

It is a harmonic sequence because the reciprocals form a arithmetic sequence

3,4,5,6

Example: 1, ½, 1/3, ¼…

The reciprocal form an arithmetic sequence.

the arithmetic sequence of this harmonic sequence is simple the counting numbers 1,2,3,4.

What is a

Harmonic Sequence?

DEFINITION

A harmonic sequence is a sequence whose reciprocals form an arithmetic sequence

a1, a2, a3, a4 such that their reciprocals 1/a1, 1/a2, 1/a3, 1/a4

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