Infinite harmonic progressions are not summable (sum to infinity).
It is not possible for a harmonic progression of distinct unit fractions (other than the trivial case where a = 1 and k = 0) to sum to an integer.
[2][3] Specifically, each of the sequences AC, AB, AD; BC, BA, BD; CA, CD, CB; and DA, DC, DB are harmonic progressions, where each of the distances is signed according to a fixed orientation of the line.
An excellent example of Harmonic Progression is the Leaning Tower of Lire.
In it, uniform blocks are stacked on top of each other to achieve the maximum sideways or lateral distance covered.