Chapter 11 Summary and Review

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 {1, 2, 3, 4, 5,}.

A finite sequence is a function having for its domain a set of positive integers {1, 2, 3, 4, 5,,n} for some positive integer n.

The first four terms of the sequence whose general term is given by an=3n+2 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 Sn.

For the sequence above, S4=5+8+11+14, or 38.

We can denote this sum using ...

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