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Arithmetic Sequence Calculator

Calculate the nth term of an arithmetic sequence

Enter the first term of the sequence

Enter the common difference

Enter the term number

How it works

Calculate the nth term of an arithmetic sequence


The Formula

an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference

Worked Example

  1. Example: Find the 10th term of an arithmetic sequence

    First term (a1) = 2, common difference (d) = 3, term number (n) = 10


Tips, Assumptions & Limitations

  • The common difference can be positive or negative
FAQ

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant

You can use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference

Companion article

Arithmetic Sequence Calculator: A Step-by-Step Guide

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How this calculator works

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this article, we will learn how to calculate the nth term of an arithmetic sequence using our free online calculator

Explanation

The formula for calculating the nth term of an arithmetic sequence is an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference

Formula

an = a1 + (n-1)d

Worked example

For example, if the first term (a1) is 2, the common difference (d) is 3, and the term number (n) is 10, the nth term (an) would be 2 + (10-1)*3 = 29

How to use this tool

To use our arithmetic sequence calculator, simply enter the first term (a1), the common difference (d), and the term number (n) into the input fields, and the calculator will calculate the nth term for you

Frequently asked questions

What is the formula for calculating the nth term of an arithmetic sequence?
The formula is an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference

Read the full guide →

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