# Study Guide

Key Terms and Concepts Examples

Section 11.1: Sequences and Series

An infinite sequence is a function having for its domain the set of positive integers .

A finite sequence is a function having for its domain a set of positive integers  for some positive integer n.

The first four terms of the sequence whose general term is given by  are



The sum of the terms of an infinite sequence is an infinite series. A partial sum is the sum of the first n terms. It is also called a finite series or the nth partial sum and is denoted .

For the sequence above, , or 38.

We can denote this sum using ...

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