Computational Method for Summation of Binomial Expansions equal to Sum of Geometric Series with Exponents of 2
Chinnaraji Annamalai
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.
Topics & Concepts
Series (stratigraphy)Binomial coefficientGeometric seriesBinomial theoremComputationBinomial (polynomial)MathematicsDivergent seriesApplied mathematicsCombinatoricsPure mathematicsMathematical analysisPower seriesAlgorithmStatisticsSummation by partsBiologyPaleontologyAdvanced Mathematical IdentitiesPolynomial and algebraic computation