# Arithmetic Sequence Calculator

An **arithmetic progression** is a sequence where the differences between every two consecutive terms are the same.

## What is Arithmetic Sequence Calculator?

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

NOTE: Please enter the values up to three digits only.

## How to Use Arithmetic Sequence Calculator?

Please follow the steps below to find the arithmetic sequence:

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

## How to Find Arithmetic Sequence Calculator?

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. The general form of an arithmetic sequence can be written as:

**a _{n} = a + (n - 1)d**

Where 'a_{n}' is the nth term in the sequence, 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the nth term to be obtained.

**Solved Example:**

Find the arithmetic sequence up to 5 terms if first term(a) = 6, and common difference(d) = 7.

**Solution:**

Given: a = 6, d = 7

a_{n} = a + (n - 1)d

a_{1}(first term) = 6 + (1 - 1)7 = 6 + 0 = 6

a_{2}(second term) = 6 + (2 - 1)7 = 6 + 7 = 13

a_{3}(third term) = 6 + (3 - 1)7 = 6 + 14 = 20

a_{4}(fourth term) = 6 + (4 - 1)7 = 6 + 21 = 27

a_{5}(fifth term) = 6 + (5 - 1)7 = 6 + 28 = 34

Therefore, the arithmetic sequence is {6, 13, 20, 27, 34}

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

- First term(a) = 5, common difference(d) = 10
- First term(a) = 4, common difference(d) = 5