ABSTRACT
Since a series corresponds to a sequence of partial sums, the result is a direct consequence of established properties of convergent sequences. The general geometric series serves as a prototype and keystone in the study of series. This chapter explores a proof which makes use of the ideas that appear in the Basic Comparison Test (namely, the term-by-term comparison of two different sequences). The integral test exploits the connection between a series of positive terms and a naturally related improper integral. The chapter analyzes the convergence/divergence of a given series.
