Chapter 8.1, Problem 23E

To determine

To graph: The sequence $\left\{a_n\right\}$ .

Explanation of Solution

Given information :

General form of some sequence, which is $\left\{a_n\right\}=\frac{n}{n^2+1}\text{for}n=1,2,3,\dots$ .

Graph :

The graph of the function as below:

  

Interpretation :

By taking the different values of $n$ :

  $\begin{array}{cc}n& a_n\\ 1& \frac{1}{2}\\ 2& \frac{2}{5}\\ 3& \frac{3}{10}\\ 4& \frac{4}{17}\end{array}$

The range of the graph from $\left[0,20\right]\text{by}\left[0,1\right]$ .