Summation Calculator - Calculate Finite & Infinite Series Instantly

Calculate finite sums, arithmetic and geometric series, infinite sums, and double summations with step-by-step solutions.

Finite Summation
∑fromto

Use 'i' as the variable. Examples: i, i^2, 2*i+1, 1/i

Summation Results

Enter an expression and limits to calculate the sum

The Summation Calculator is an excellent online utility that allows you to calculate finite sums, arithmetic and geometric series, infinite summations, and double summations easily! It is helpful for students, teachers, and researchers alike, and this online summation calculator does the hard work of calculating complex sums in sigma notation formulas, and delivers step-by-step solutions to every summation problem.

With this calculator with summation, you will be able to compute results for more advanced summation equations involving series in seconds - simple square summations, to solutions in summation involving arithmetic or geometric or other combinations.

Summation Calculator

What is a Summation Calculator?

A Summation Calculator evaluates the summation or total of a given series, for example, interpreted with the sigma notation (Σ). It automates the process of adding or summing terms that may be defined by mathematical rule or formula.

For example:

∑(i^2) from i=1 to 5 = 1+4+9+16+25 = 55

Rather than calculating manually, our sigma notation calculator instantly performs its computations via the summation series formula, while also providing a breakdown of steps used.

How does the Summation Calculator Work?

Our online summation calculator processes your input in real-time and supports multiple summation types:

1.
Finite Summation - Calculates a fixed finite range (from i = 1 to 10, for example).
2.
Infinite Summation - Calculates for an infinite geometric series (using the infinite summation calculator option).
3.
Arithmetic Series - Using the summation series formula, uses an arithmetic progression.
4.
Geometric Series - Computes series using sigma notation formulas for geometric progressions.
5.
Double Summation - Solve two-dimensional sums using the double summation calculator.

Just enter your expression like i^2, set the lower and upper limits, and the sigma sum calculator will evaluate and display each term with the total sum.

Why use this online Summation Calculator?

Accurate step-by-step solutions using the sigma notation formula
Supports arithmetic, geometric, harmonic, and infinite series
Allows symbolic expressions such as i², i+1, 1/i, etc.
Works as a summation notation solver and sum notation calculator
Perfect for students, mathematicians, and researchers
Mobile and desktop-friendly interface

Whether you need to find the sum of squares, an arithmetic progression, or a complex summation equation, this summation notation calculator delivers accurate and instant results.

Supported Series Types

1.
Type: Finite Series
Example: Σ(i²) from 1 to 10
Description: Adds terms within a defined range
2.
Type: Infinite Series
Example: Σ(1/2)^n
Description: Evaluates infinite geometric progressions
3.
Type: Arithmetic Series
Example: 2 + 4 + 6 + 8 + …
Description: Constant difference between terms
4.
Type: Geometric Series
Example: 2 + 6 + 18 + 54 + …
Description: Constant ratio between terms
5.
Type: Double Summation
Example: ΣΣ(i + j)
Description: Adds across a two-dimensional grid

This flexibility makes it the most reliable summation series calculator and sigma notation solver available online.

Example:

Input:

∑(i^2) from i=1 to 5

1.
Replace i = 1, 2, 3, 4, 5
2.
Compute: 1² + 2² + 3² + 4² + 5²
3.
Result: 55

That's how our find the summation calculator delivers instant and precise answers, including each intermediate step.

Try Our Other Tools

Double Summation Calculator - Calculate double series or more complex double summations.
Infinite Summation Calculator - Accuracy evaluator, to evaluate infinite series appropriately.
Sigma Notation Calculator - Use to learn and practice sigma notation formulas.
Summation Series Calculator - Illustrates applying the summation series formula to real examples.

Every individual tool is designed to make your work easier with proper notation, detailed entirely, and considered worked examples.

The Summation Calculator is your complete solution to evaluate complicated series with sigma notation formulas. It is the perfect tool for both a single finite summation, or a double summation, giving complete, precise, this calculator with summation gives step-by-step instant outcome to the summation question with scratchpad capability.

Stop wasting your time figuring out by hand, and use the Summation Calculator to solve summations faster, smarter, and easier!

FAQs

The Summation Calculator provides the total of a series in an efficient manner using sigma notation. The calculator virtually automates long summation or complex summation equations.

Yes! The infinite summation calculator supports geometric series with infinite terms and provides exact solutions.

The definitions for the sigma notation formulas are represented in the symbols Sum or '∑,' representing the sum of all elements. The summation forms are presented as Σ(f(i)), with lower and upper limits.

Yes, our double summation calculator can solve multi-level summations efficiently.

Certainly. The Summation Calculator solves any infinity or series and is a summation series calculator for arithmetic, geometric, harmonic, and infinite series!

Yes, this online summation calculator is completely free to use and provides step-by-step summation series formula explanations for every result.