∑ 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

← Back to the general term

Choose a recurrence model and enter the initial value. The calculator checks the domain, fixed points, and assumptions of the tests used. Cases that cannot be proved are reported as undetermined.

Examples:

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.