Number Theory

   

Approximation of Sum of Harmonic Progression

Authors: Aryan Phadke

Sum of Harmonic Progression is an old problem. While a few complex approximations have surfaced, a simple and efficient formula hasn’t. Motive of the paper is to find a general formula for sum of harmonic progression without using ‘summation’ as a tool. This is an approximation for sum of Harmonic Progression for numerical terms. The formula was obtained by equating the areas of graphs of Harmonic Progression and curve of equation (y=1/x). Formula also has a variability that makes it more suitable for different users with different priorities in terms of accuracy and complexity.

Comments: 10 Pages.

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Submission history

[v1] 2019-05-25 02:34:55

Unique-IP document downloads: 39 times

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