This applet explores some important sequences and series.

Choose a sequence from the drop-down menu (or choose 'Enter your own' and type one in). Drag the slider at the bottom of the screen to show more or less terms of the sequence.[br][br]Does the sequence converge? If so, what is its limit? Click 'Show limit of sequence' to check.[br][br]Click 'Show series' to show the partial sums [math]p_n[/math]. What happens to them as [math]n \to \infty[/math]? Click 'Show sum of series' to check.