Question

What is a harmonic progression and how is it helpful?

Answer 1

A harmonic progression is a sequence of real numbers formed by taking the reciprocals of an arithmetic progression. Equivalently, it is a sequence of real numbers such that any term in the sequence is the harmonic mean of its two neighbors.

The sequence 1,2,3,4 is an arithmetic progression, so its reciprocals 1, 1/2, 1/3, 1/4 are a harmonic progression.

. The harmonic series is a special case of a log-log function, so it's characteristics are similar to those of many things in nature that follow these kinds of functions (word frequencies in text and zipfs law, earthquake intensity and the Richter scale, etc...)