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# Summation Calculator

'Summation Calculator' is an online tool that helps to calculate the sum of the given series. Summation (or) sum is the sum of consecutive terms of a sequence.To write the sum of more terms, say n terms, of a sequence {a_{n}}, we use the summation notation instead of writing the whole sum manually.

## What is Summation Calculator?

Online Summation Calculator helps you to calculate the sum of the given series in a few seconds. The summation formulas are used to calculate the sum of the sequence. There are various types of sequences such as arithmetic sequence, geometric sequence, etc and hence there are various types of summation formulas of different sequences.

### Summation Calculator

**NOTE:** Enter function in 'n' only.

## How to Use Summation Calculator?

Please follow the steps below to calculate the sum of the given series:

**Step 1:**Enter the function, and numbers in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the sum of the given series**Step 3:**Click on the**"Reset"**button to clear the fields and find for different values.

## How to Find Summation?

To write the sum of more terms, say n terms, of a sequence {a_{n}}, we use the summation notation instead of writing the whole sum manually by:

**a _{1} + a_{2} +... + a_{n} = \(\sum_{i=1}^{n} a_{i}\)**

**Solved Examples on Summation Calculator**

**Example 1:**

Find \(\sum_{n=1}^{5} n\) and verify it using the online summation calculator

**Solution:**

Find sum up to 5 terms for a given function 'n'

= 1 + 2 + 3 + 4 + 5

= 15

**Example 2:**

Find \(\sum_{n=0}^{4} n\) and verify it using the online summation calculator

**Solution:**

Find sum up to 5 terms for a given function 'n'

= 0 + 1 + 2 + 3 + 4

= 10

**Example 3:**

Find \(\sum_{n=0}^{4} n^2\) and verify it using the online summation calculator

**Solution:**

Find sum up to 5 terms for a given function 'n^{2}'

= 0^{2} + 1^{2} + 2^{2} + 3^{2} + 4^{2}

= 0 + 1 + 4 + 9 + 16

= 30

Similarly, you can try the online summation calculator to find the sum of the series for the following:

- \(\sum_{n=1}^{4} n^2\)
- \(\sum_{n=1}^{7} (n + 1)^2\)

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