A sequence is a list of numbers written in a definite order: a1, a2, a3, d4, . . ., an, . . . Each number is called a , and an is called the The successor to an is represented by A sequence can be considered a function whose domain is For each of the following sequences, tell whether they converge or diverge as n - co a) an = n d) an = sinn b) bn = 1 - 2n (-1)n e) an 3 2 + 5 2n 100 c ) bn = f ) tn = 3n+4 n! (11.2) A series is the sum of the terms of a sequence. To indicate the sum, we use sigma notation. Write the following infinite sum in > notation: 1+3+9+27+81+... What is the formula for the sum of an infinite geometric series? Under what conditions is this sum finite