Geometric interpretation of numerical series

Abstract

The objective of this study is to conduct a theoretical analysis of the opportunity to give a geometric interpretation of various numerical series. The tasks of the study are to develop and reason the approach of visualizing the convergence of numerical series. The object of research is convergence of numerical series. The subject of research is the geometric interpretation of the convergence of numerical series. We consider a number of examples where you can expect the proposed approach to the visualization of numerical series and argued that during the study of module “Series” it may be recommended for students to get numeric series, whose members are associated with values of various figures inscribed into a square with sides equal to 1 and independently to investigate produced series on convergence. Results of the study is: the approach to visualizing the convergence of numerical series is developed and geometric interpretation of several numbers are explored.