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# Sum of Arithmetic Sequence Calculator

'Sum of Arithmetic Sequence Calculator' is an online tool that helps to calculate the sum of the arithmetic sequence. The **arithmetic sequence** is the sequence where the common difference remains constant between any two successive terms.

## What is the Sum of Arithmetic Sequence Calculator?

Online Sum of Arithmetic Sequence calculator helps you to calculate the sum of arithmetic sequence in a few seconds. An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

### Sum of Arithmetic Sequence Calculator

**NOTE:** Please enter first term, common difference upto four digits only and enter number of terms upto three digits only.

## How to Use Sum of Arithmetic Sequence Calculator?

Please follow the steps below to find the sum of the arithmetic sequence:

**Step 1:**Enter the first term(a), the common difference(d), and the number of terms(n) in the given input box.**Step 2:**Click on the**"Calculate"**button to find the sum of the arithmetic sequence.**Step 3:**Click on the**"Reset"**button to clear the fields and find the sum of the arithmetic sequence for different values.

## How to Find Sum of Arithmetic Sequence?

An arithmetic sequence is defined as a series of numbers, in which each term (number) is obtained by adding a fixed number to its preceding term.

Sum of arithmetic terms = n/2[2a + (n - 1)d]**,** where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.

**Solved Examples on Sum of Arithmetic Sequence Calculator**

**Example 1:**

Find the sum of the arithmetic sequence 1,3,5,7,9,11,13,15

**Solution:**

Given: a = 1, d = 2, n = 8

Sum of arithmetic terms = n/2[2a + (n - 1)d]

= 8/2[2(1) + (8 - 1)2]

= 4[2 + 14]

= 64

**Example 2:**

Find the sum of the arithmetic sequence 2, 7, 12, 17, 22

**Solution:**

Given: a = 2, d = 5, n = 5

Sum of arithmetic terms = n/2[2a + (n - 1)d]

= 5/2[2(2) + (5 - 1)5]

= 5/2[4 + 20]

= 5 × 12

= 60

**Example 3:**

Find the sum of the arithmetic sequence for a = 10, d = 9, and n = 20

**Solution:**

Given: a = 10, d = 9, n = 20

Sum of arithmetic terms = n/2[2a + (n - 1)d]

= 20/2[2(10) + (20 - 1)9]

= 10[20 + 171]

= 1910

Similarly, you can try the sum of arithmetic sequence calculator to find the sum of the arithmetic sequence for the following:

a) 2,4,6,8,10,12,14,15 b) 5,15,25,35,45,55,65

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