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## 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 a1, the second term ...

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