SOME RECOMMENDATIONS FOR CALCULATING FINITE AND INFINITE SUMS

Calculating finite and infinite sums is one of the important problems of mathematical analysis, in which various methods and theoretical approaches are applied. Articles on this topic are useful not only for students but also for applicants who wish to study this subject in depth. In this article, the main methods of calculating sums are considered through simple examples based on mathematics and computational techniques. General formulas for finite sums, arithmetic and geometric progressions, as well as examples involving recurrent relations are presented. The article is designed to provide practical assistance in understanding the topic and may be useful for the fields of mathematics, physics, and engineering.