# Series Calculator

A series is defined as the sum of a given sequence. The sum of a particular part of a sequence is called its partial sum.

## What is Series Calculator?

'Cuemath's Series Calculator' is an online tool that helps to calculate the summation of finite series for a given function. Cuemath's online Series Calculator helps you to calculate the summation of finite series for a given function in a few seconds.

NOTE: Enter the function in terms of x only.

## How to Use Series Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the function in the given input box.**Step 2:**Click on the**"Find"**button to find the summation of the finite series**Step 3:**Click on the**"Reset"**button to clear the fields and enter a new function.

## How to Find Series Calculator?

The series is defined as the summation or addition of a large number of data that are a concerned sequence of any kind of numbers, called addends or summands. ∑ is the symbol that is used for a total sum to denote summation.

Let's see an example to understand briefly.

**Solved Example:**

Find sum of finite series for a function \(\sum_{x =0}^{5} (x + 5)\)

**Solution:**

\(\sum_{x =0}^{5} (x + 5)\)

= (0 + 5) + ( 1 + 5) + ( 2 + 5) + ( 3 + 5) + ( 4 + 5) + (5+5)

=5+ 6 + 7 + 8 + 9 + 10

= 45

Therefore, the sum of finite series for a given function \(\sum_{x =0}^{5} (x + 5)\) is 45

Similarly, you can try the calculator to finite series for the following functions:

- \(\sum_{x =0}^{10} ( x + 2)\)
- \(\sum_{x =0}^{7}(x^2 + 5)\)