# Series Calculator

> Find the nth term and the sum of the first n terms of an arithmetic or geometric sequence. Returns the closed-form formula used and a preview of the first several terms.

**URL:** https://www.calculatoranswers.com/series-calculator
**Category:** Education

## Quick Answer

Calculate the sum, terms, and convergence of arithmetic, geometric, and power series. Enter your formula, start value, and end value to find the results.

## Definition

A series calculator is a mathematical utility that computes the summation, terms, and convergence properties of a sequence of numbers. The calculator supports arithmetic, geometric, and infinite series, applying algebraic and calculus rules to determine whether a given series converges or diverges. It calculates the partial sum for a specified range and computes the sum to infinity for convergent geometric series. Math students and researchers use this tool to analyze sequence behavior and calculate discrete sums.

## How to Use

1. **Select the series type** — Choose whether you are calculating an arithmetic, geometric, or custom formula series.
2. **Input series parameters** — Enter the sequence formula, the starting term index, and the ending index.
3. **Review the results** — Read the total summation, list of terms, and convergence analysis.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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