This 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?

Our summation calculator is used to rapidly compute the sum of a series for a certain expression.

### 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 Notation Calculator:

Our Sigma notation 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