Calculus Practice Tool

Infinite Series Explorer

Enter the nth term of a series, compute many partial sums, and explore whether the series appears to converge. This tool gives numerical evidence from partial sums, but it does not replace a formal convergence test.

Inputs

Series term a_n

Use n as the index. Supported functions: sin, cos, tan, sqrt, abs, log, exp. Use ^ for powers.

Starting n

Number of terms

Examples

Computed partial sum

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After 0 terms

Behavior

Need input

Enter a series term and click Explore Series.

Tail average

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Average of the last 10 partial sums

Partial sums

The dashed line marks the average of the last 10 partial sums when available.