Analysis and Modelling of Annamalai Computing Geometric Series and Summability

Abstract

This paper presents a mathematical model for the formation as well as computation of geometric series in a novel way. Using Annamalai computing methoda simple mathematical model is established for analysis and manipulation of geometric series and summability.This new modelcould be used in the research fields of physics, engineering, biology, economics, computer science, queueing theory, and finance. In this paper, a novel computational model had also been developed such that a∑i=k∞ yi=ayk/1-y and ∑i=0∞ ∑j=i∞ ayj=a/(1-y)2,(0<y<1). This could be very interesting and informative for current students and researchers.