Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Calculus
License:
Creative Commons Attribution Non-Commercial
Language:
English
Media Formats:
eBook, Interactive

Education Standards (1)

Putting it all together module

Overview

The various concepts associated with sequences and series are reviewed.

All of the series convergence tests we have used require that the underlying sequence (an)(an) be a positive sequence. We can actually relax this and state that there must be an N>0N>0 such that an>0an>0 for all n>Nn>N; that is, (an)(an) is positive for all but a finite number of values of nn. We’ve also stated this by saying that the tail of the sequence must have positive terms. In this section we explore series whose summation includes negative terms.

Putting it all together

Ximera Module

The various concepts associated with sequences and series are reviewed.