# 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.