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🔢 Sequences & Series Calculator

🔢 Sequences & Series Calculator

Find any term and the running sum of arithmetic or geometric sequences, test a geometric series for convergence, and see the working for the formula you used.

Set the values above and press Calculate.
Formulae used

Arithmetic: a\u2099 = a\u2081 + (n\u22121)d and S\u2099 = n/2 \u00d7 (2a\u2081 + (n\u22121)d).
Geometric: a\u2099 = a\u2081 \u00d7 r\u207f\u207b\u00b9 and S\u2099 = a\u2081(1 \u2212 r\u207f) / (1 \u2212 r). When |r| < 1 the infinite series converges to a\u2081 / (1 \u2212 r); otherwise it diverges and has no finite sum.

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