### Sequences and Series

Graphs the values of a sequence an and the sequence of partial sums for the series ∑ an.
How to use   ||   Examples   ||   Other Notes

How to use
• Enter the formula for the nth term an (in terms of the variable n) in the text input field marked "nth term =". (Example: an=1/n!).
• Click the "Graph" button (this button also refreshes the graph).
• Use the "+" and "-" buttons under the label marked "n=" to change the starting value for n in the sequence.
• Click the "Clear" button to clear the text input field and set n to a default value.
The text input fields can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.
Examples
 Harmonic: an = 1/n start with n=1    diverges Alternating: an = (-1)n/n start with n=1    converges p-Series: an = 1/n2 start with n=1    converges Factorial: an = 1/n! start with n=0 converges

Other Notes
The graph shows the terms of the sequence {an} in red and partial sums of the series ∑ an (i.e. the terms of the sequence {Sn} where Sn=a0+a1+...+an) in blue on the same set of axes.