∑ Mathematics LabSequences and Series · v5.1
Mathematical analysis

Sequences and Series

Find out whether a sequence or series converges and why. Each supported result includes the chosen method, the assumptions to check, and the mathematical steps.

Sequences Series
Examples:
More examples

Use n as the index, ^ for powers, * for multiplication, and ! for factorials. The functions sqrt, log, ln, sin, cos, exp, abs are also supported. Implicit multiplication is not supported.

Sequence defined by recurrence? Analyze recurrence sequences

Enter an expression above and select Analyze to see the result, graph, and explanation.

Method and reliability

The calculator explains which test is used and why. Unsupported expressions are labeled undetermined, without inferring convergence from a graph. Reproducible stress tests are included in tests/ for command-line use, separate from the public website.