![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png){kind=logo}
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, engineering, and management.
