Chapter 1: SEQUENCE AND SERIES Engineeering Mathematics
Return to Table of Content Chapter 1: SEQUENCE AND SERIES Content Definition. Convergent, divergent, bounded & monotone sequences. Infinite sums: Basics, Convergence and divergence, Tests for convergence for positive term series, Alternating series – Leibnitz test, Absolute convergence, conditional convergence, Convergence of power series. 1.1. Definition: A sequence is a list of numbers in a given order. Each of and so on represents a number.These are the terms of the sequence. For example, the sequence 2, 4, 6, 8, 10, 12,…., 2n,…. has first term second term and n th term Order is important. The sequence 2, 4, 6, 8 . . . is not the same as the sequence 4, 2, 6, 8 . . . . The integer n is called the index of , and indicates where occurs in the list. Examples 1.2. Convergence and Divergence of Sequence Definition: A sequence which h...