# Geometric Series Calculator

> Calculate the nth term, partial sum, and infinite sum of a geometric series from the first term and common ratio.

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

## Quick Answer

Analyze a geometric progression. Enter the first term, common ratio, and number of terms to find the nth term, partial sum, and infinite sum.

## Definition

A geometric series calculator analyzes a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. The calculator computes the value of the nth term, the sum of the first n terms (partial sum), and the sum of the infinite series if the absolute value of the common ratio is less than one. If the ratio is greater than or equal to one, the calculator indicates that the infinite series diverges.

## How to Use

1. **Enter the first term** — Type the starting term (a) of the geometric sequence.
2. **Enter the common ratio** — Input the multiplier (r) between consecutive terms.
3. **Set the term count** — Type the number of terms (n) to compute the nth term and partial sum.

## 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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