Sequence Calculator - Generate, Analyze & Solve Any Sequence

The Sequence Calculator is an efficient online tool for generating and analyzing sequences, including arithmetic and geometric right through to Fibonacci sequences and quadratic sequences. The free calculator can determine the nth term, the sum of terms, and common ratio or difference. This is very useful for identifying understanding of sequences with quick accuracy and ease.

Our Sequence Calculator incorporates built-in formulas that provide answers for the results and some steps involved in attaining them. The Sequence Calculator is useful for teachers and professionals and for students who wish to explore the mathematics of sequences quickly.

What is a Sequence Calculator?

A Sequence Calculator will calculate the next terms in a pattern in mathematics called a sequence. You could run the first term, common difference or common ratio, and number of terms you would like calculated to instantly generate the entire sequence.

This tool supports:

Each sequence type includes detailed explanations, formulas, and steps so you can learn how the results are calculated.

Arithmetic Sequence Calculator

An arithmetic sequence calculator is used to find terms in a series where each term increases or decreases by a fixed number.

Example: 2, 5, 8, 11, 14...

The arithmetic sequences formula is:

aₙ = a₁ + (n - 1)d

Where:

You can also use our arithmetic series calculator or arithmetic progression calculator to find the sum of arithmetic sequences. Each arithmetic series solver will show how each term and sum is calculated step by step.

Geometric Sequence Calculator

The geometric sequence calculator will find terms in a series where each term is multiplied by a common ratio.

Example: 3, 6, 12, 24, 48...

The formula for geometric sequence or geometric sequence equation is:

aₙ = a₁ x rⁿ⁻¹

Our geometric series calculator and calculator for geometric sequence will also help you find the nth term and total sum. You will be able to view the entire sequence visually and easily.

You can also view arithmetic and geometric sequences formulas in the same tool too; you can swap between modes seamlessly!

Fibonacci Sequence Calculator

The Fibonacci Sequence Calculator will calculate the famous sequence where each term is the sum of the two previous numbers - starting with 0 and 1.

Example: 0, 1, 1, 2, 3, 5, 8, 13...

With the Fibonacci number calculator and calculator Fibonacci options present, you can generate more than one aspect of Fibonacci numbers and also explore some relationships between numbers, mathematics etc.

You can also compare arithmetic, geometric, and Fibonacci sequences side by side using our interactive determine sequence calculator.

Features of the Sequence Calculator

Whether you're working on algebra, statistics, or pattern recognition, this calculator for sequence is your all-in-one mathematical companion.

Example Calculation

If the first term (a₁) = 2, common difference (d) = 3, and number of terms (n) = 10:

This shows how the arithmetic sequence calculator determines terms and sum using the arithmetic sequences formula accurately.

The Sequence Calculator is an excellent tool which will analyze mathematical patterns and help in learning. Whether you are investigating arithmetic sequences, geometric sequence equations, or Fibonacci numbers, this tool generates the formulas and steps to do it all immediately.

Use this calculator for sequence to simplify your studies, verify homework, or understand how arithmetic and geometric sequences formulas work in real-time.