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What is harmonic progressions in maths give examples?

Updated: 8/18/2019
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13y ago

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Harmonic progressions is formed by taking the reciprocals of an arithmetic progression.

So if you start with some number a, and add a common difference d each time, the arithmetic progression would be a, a+d, a+2d, a+3d etc.

The harmonic progression comes from taking the reciprocals of these terms.

So we have a, a/(1+d), a/(1+2d), a/( 1+3d)...

Here is a harmonic progression: 1/6, 1/4, 1/3, ....

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