Enter the formula for the n^th term a_n (in terms of the variable n) in the text input field marked "n^th term =".

Example: a_n=1/n!

Click the "Graph" button (this button also refreshes the graph).

To erase the text input field and set the starting value of n to a default value, click the "Clear" button.

Harmonic: a_n = 1/n, start with n=1 (diverges)

Alternating: a_n = (-1)ⁿ/n, start with n=1 (converges)

p-Series: a_n = 1/n², start with n=1 (converges)

Factorial: a_n = 1/n!, start with n=0 (converges)

The graph shows the terms of the sequence {a_n} in red and partial sums of the series

a_n (i.e. the terms of the sequence {S_n} where S_n=a₀+a₁+...+a_n) in blue on the same set of axes.