The applet shows graphically and numerically consecutive terms of a sequence or consecutive partial sums of a series. The user enters a formula for a sequence or a series and the terms are plotted. Many examples and practice problems are given.
Click the screen shot below to open the applet in a new window:
The applet illustrates many concepts associated with convergence and divergence of sequences and series, including the speed of convergence, subsequences, and Weyl's Theorem on Uniform Distribution. It provides a quick and easy illustration that finding limits of sequences by evaluating a few terms can be misleading. Similarly, as evaluating limits of functions by evaluating at a few points.