# Sum of Arithmetic Sequence Calculator

## What is the Sum of Arithmetic Sequence Calculator?

'Cuemath's Sum of Arithmetic Sequence Calculator' is an online tool that helps to calculate the sum of the arithmetic sequence. Cuemath's online Sum of Arithmetic Sequence calculator helps you to calculate the sum of arithmetic sequence in a few seconds.

NOTE: Please enter the values up to four 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 Example:

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

Similarly, you can try the 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