Abstract

This chapter focuses on the sequences of real numbers. A sequence is the following of one thing after another. In mathematics one can define a sequence intuitively as a succession of numbers that never terminates. A sequence of real numbers is a function whose domain is the set of positive integers. The values taken by the function are called terms of the sequence. The chapter discusses bounded and monotonic sequences. A bounded monotonic sequence is convergent. A series in which successive terms have opposite signs is called an alternating series. An alternating series is said to be conditionally convergent if it is convergent but not absolutely convergent.

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