David Little  
Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 
Office: 403 McAllister Phone: (814) 8653329 Fax: (814) 8653735 email:dlittle@psu.edu 



Sequences and Series
The following applet can be used to graph a sequence, a_{n}, and the corresponding series (i.e., the sequence of partial sums s_{n} = a_{1} + a_{2} + ... + a_{n}). Simply enter a_{n}, the function that gives the nth term of the sequence. Keep in mind that the applet plots a_{n} for n≥ 1, so be sure that a_{n} is defined for all positive integers n. The user can also choose between Comparison Test, Limit Comparison Test, Ratio Test and Root Test to help determine the convergence of the original series. Note that for large values of xscale, the applet does not plot every element of the sequence. To force the applet to plot every element of the sequence, hold down the "SHIFT" key. Keep in mind that doing so may slow down the applet. Here is a list of functions that can be used with this applet.
Use the above applet to determine:
© 2005 David P. Little Download this applet for offline viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems 