# Common Difference Arithmetic Sequence Calculator

**Created By :** Abhinandan Kumar

**Reviewed By :** Phani Ponnapalli

**Last Updated :** Mar 28, 2023

Utilize our free online to find the common difference in the arithmetic sequence calculator tool that calculates the common difference easily. All you need to do is give the inputs in the input fields and click on the calculate button that gives the answers in a fraction of seconds.

### How to Find the Common Difference in the Arithmetic Sequence?

An arithmetic sequence is a set of numbers or objects. The sequence is a set of numbers that are separated with commas. An arithmetic sequence is also called arithmetic progression. An arithmetic sequence is in form of,

a, a +d, a + 2d, a + 3d, a + 4d......

Now, we will see the formula for the arithmetic sequence,

a_{n} = a₁ + (n-1)d.

where

a_{n} = nth term of the sequence.

a₁ = 1st term of the sequence.

d = common difference.

To find the common difference,

d = a_{n+1} - a_{n}

**Steps to calculate the common difference of arithmetic sequence**

Look into the guidelines that are given below for calculating the common difference of arithmetic sequence.

- First, give the values that are given in the problem.
- After that, apply the formula to find the common difference.
- Finally, you will get the answer easily.

**Example:**

**Question: **Find the common difference between the a_{2} and a_{3}, if a_{1} = 23, n = 3, d = 5?

**Solution:**

Given a_{2} and a_{5}, a_{1} = 23, n = 3, d = 5, a_{4} = 20

Apply the formula,

a_{n} = a₁ + (n-1)d.

a_{2 } = 23 + (3 -1) * 5

= 23 + 10 = 33.

a_{5 }= a_{4} + (n-1)d.

= 20 + (3-1) * 5

= 20 + 10 = 30.

d = a_{n+1} - a_{n }= a_{2 }- a_{5 }= 33 - 30 = 3.

Therefore the common difference of arithmetic sequence is 3.

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### FAQs on Find the Common Difference of Arithmetic Sequence Calculator

**1. What is an arithmetic sequence?**

An arithmetic sequence is a set of numbers or objects. The sequence is a set of numbers that are separated with commas.

**2. What is the formula of an arithmetic sequence?**

Formula of an arithmetic sequence is a_{n} = a₁ + (n-1)d.

**3. What is the best tool that calculates the common difference arithmetic sequence?**

Find the common difference of arithmetic sequence calculator is the best tool that calculates the common difference arithmetic sequence.