Number Sequence Calculator
Find the nth term and sum of arithmetic and geometric sequences.
Arithmetic Sequence Result
First 10 terms:
Geometric Sequence Result
First 10 terms:
About the Number Sequence Calculator
What is a Number Sequence?
A number sequence is an ordered list of numbers following a specific pattern. An arithmetic sequence changes by a constant difference, while a geometric sequence changes by a constant ratio.
How to Use
Select the sequence type, enter the first term, common difference or ratio, and the term number you want to find. The calculator returns the nth term, the sum of the first n terms, and a list of the first 10 terms.
What is the formula for the nth term of an arithmetic sequence?
The nth term is a�?= a�?+ (n - 1)d, where a�?is the first term and d is the common difference.
What happens if the common ratio is 1 in a geometric sequence?
If r = 1, every term equals the first term. The sum of n terms is simply n × a�?
Can the common ratio be negative?
Yes. A negative common ratio causes the terms to alternate between positive and negative values.
Is this calculator free?
Yes, BestCalc's number sequence calculator is completely free with no ads or registration required.