# Summation Calculator

> Evaluate sums in sigma notation by specifying the starting index, ending index, and the expression to be summed.

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

## Quick Answer

Find the sum of arithmetic or geometric sequences. Enter the starting terms, sequence difference or ratio, and number of iterations.

## Definition

A summation calculator computes the total sum of a sequence of terms defined by arithmetic or geometric progressions. In arithmetic sequences, terms increase by a fixed difference, while geometric sequences scale by a common ratio. The calculator applies closed-form algebraic formulas to compute the total sum of the first 'n' terms without requiring manual iteration.

## How to Use

1. **Select sequence type** — Choose either arithmetic or geometric sequence type from the option buttons.
2. **Input sequence parameters** — Enter the first term, the common difference or ratio, and the total number of terms.
3. **Read the summation result** — View the nth term value, the accumulated total sum, and the formulas used.

## 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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