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Series Calculator

Calculate arithmetic and geometric series sums, last term, and all terms. Checks convergence of infinite geometric series.

Complete User Guide

Arithmetic Series: enter first term a, common difference d, and n. Get sum, last term, all terms. Geometric Series: enter a, ratio r, and n. Also shows sum to infinity if |r|<1.

The Mathematical Formula
Arithmetic: Sn = n/2(2a + (n-1)d)

Arithmetic: Sn = n/2×[2a+(n-1)d]. Geometric: Sn = a(1-r^n)/(1-r) for r≠1. Infinite geometric (|r|<1): S∞ = a/(1-r).

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