**Chapter 10Sequences and Series**

10.1 Sequences

10.2 Arithmetic Sequences and Series

10.3 Geometric Sequences and Series

10.4 Summation Notation

10.5 Infinite Geometric Series

10.6 The Binomial Theorem

**10.1 Sequences**

A *sequence* is a set of numbers in a certain pattern. Each number in the set is called a *term*. A finite sequence has a limited and finite number of terms, while an infinite sequence has an unlimited and infinite number of terms. An infinite sequence is indicated with three dots, called *ellipses*, after the last number listed to show that the sequence goes on infinitely.

The first term of a sequence is identified by *a*_{1}, the second term ...