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Computation Method for Summation of Binomial Expansions equal to Sum of Geometric Series with Exponents of Two

27 June 2022, Version 6
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Geometric series plays a vital role in the areas of combinatorics, science, economics, and medicine. This paper presents a computing method for the sum of summation of geometric series and the summation of series of binomial expansions in an innovative way. The computation of multiple summations of binomial expansions is equal to the sum of geometric series with exponents of two. These are the methodological advances which are useful for researchers who are working in science, economics, engineering, and management.

Keywords

binomial coefficient
computation
combinatorics
geometric series

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Version History

Jun 27, 2022 Version 6

Version Notes

New section entitled "2. Series of Binomial Coefficients" and its subsection titled "2.1 Relations between Binomial Expansions" have been added in the new version of my manuscript.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2022-pnx53-v6
D O I: 10.33774/coe-2022-pnx53-v6 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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