MATH CALCULATOR
Sequence Calculator
Calculate the nth term of an arithmetic sequence easily with our online tool.
What is the Sequence Calculator & How does it work?
An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant, called the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, …, the common difference is 3.
This formula allows you to find any term in the sequence by knowing the first term, the common difference, and the position of the term you want to find.
a_n = a_1 + (n-1)d
a_n = nth term
a_1 = first term
n = term number
d = common difference
a_1 = first term
n = term number
d = common difference
Parameters
Result—
Frequently Asked Questions
How do I find the nth term of an arithmetic sequence?
Use the formula a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
What is an arithmetic sequence?
An arithmetic sequence is a series of numbers in which each term after the first is obtained by adding a constant called the common difference to the previous term.
Can you explain how to find the common difference in an arithmetic sequence?
The common difference (d) is found by subtracting any term from the term that follows it. For example, if your sequence is 2, 5, 8, 11, ..., then d = 5 - 2 = 3.
How do I use this calculator to find a specific term in an arithmetic sequence?
Input the first term (a_1), the common difference (d), and the term number (n) you want to find. The calculator will then compute the nth term for you.
What is the formula for the nth term of an arithmetic sequence?
The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
Can this calculator handle negative numbers in sequences?
Yes, the calculator can handle arithmetic sequences with negative numbers. Just input the appropriate values for the first term, common difference, and term number.
Is there a limit to how many terms I can calculate with this tool?
No, there is no specific limit. You can use this calculator to find any term in an arithmetic sequence as long as you have the first term, common difference, and the term number.
Results are for informational purposes only and do not constitute professional advice.