Harmonic Progression and Geometric Progression are two other types of progression. Progression of Harmony. When multiplying the reciprocals of an arithmetic progression, a harmonic progression (or harmonic sequence) is formed. A sequence is the same as a harmonic progression if each term is the harmonic mean of the terms around it. Geometric Progression, on the other hand, is a series in which each new element is made by multiplying the previous element by a constant called the common ratio, which is represented by the letter r.