# Summation Calculator

## Table of Content

Feedback

The advanced summation calculator calculates the sum of a given number series for a particular expression.

## What Is Summation?

“Summation is the process of adding up the set of numbers in order to form a series.”

The Greek letter that represents the summation is Σ. The symbol sigma means the sum up. Summation of sequences has two types, known as finite and infinite sets of sequences.

## Formula:

The formula to find out the summation for the sequence of the numbers is given below.

$$\sum_{i}^{n} x_{i} = x_{1} + x_{2} + ... + x_{n}$$

$${\sum _{i=0}^n\left[f\left(x\right)\right]}$$

Where,

• i is the lower limit
• n is the upper limit

## How To Calculate Summation?

A summation calculator is used to rapidly compute the sum of a series for a certain expression. But hands on experience on manual calculations is also important. That is why take a look at the following example.

### Example:

Suppose the summation (x+1)^2 with their upper value of 8 and the lower value is 3. Find the summation of the expression.

#### Solution:

First, you need to identify the values and find the sum which can also be instantly done by using the sigma sum calculator.

x = 3, 4, 5, 6, 7, 8

Put the value of x in series to sigma notation calculator (x+1)^2

Σx=3 = (3+1)^2 + (4+1)^2 + (5+1)^2 + (6+1)^2 + (7+1)^2 + (8+1)^2

Σ= 16 + 25 + 36 + 49 + 64 + 81

Σ= 271

## Working of Summation Calculator:

Our Sigma calculator has a simple user interface that allows you to enter the required numbers to get results in seconds. Let’s come to know how!

Input:

• Select the calculation method
• Enter the upper and lower limit
• Enter the function equation
• Tap “Calculate

Output:

• The summation calculator will give you the instant sum of the number series, with the steps shown

## FAQs:

### Can You Divide the Summation?

No! It is not correct to divide the summation. In short, the summation of a series means the sum up, not divide up.

## References:

From the source Wikipedia: Summation, Notation, Formal definition, Measure theory notation, Calculus of finite differences, Approximation by definite integrals, Identities.

From the source Khan Academy: Summation notation, worked example, Riemann sum of the summation notations, Integrals, definite integral as a limit of notations ### Hamza Haroon

I am a blogger, researcher, technical content writer and science geek who writes on Science & Technology. My hobbies includes collecting old coins, reading books and watching detective series. I love football and seeing Real Madrid play in traditional