Series Section 14.3

Intro to Series

Series A sum of the terms of a sequence is called a series. A series is a finite series if it is the sum of a finite number of terms. A series is an infinite series if it is the sum of all the terms of an infinite sequence.

SequenceSeries Type of series Finite Infinite Finite Infinite Finite

Summation & Sigma 5 n = 1

Example 1 6 i = 0

Example 1 5 i = 3

OYO: 6 i = 0 5 i = 2

Example 2

5 i = 1

Example 2

4 i = 1

OYO: 6 4

Partial Sums n i = 1

Example 3: 3 i = 1

OYO:

Example 4: Application

OYO:

Homework Unit 19 Homework page #14 – 20