What formula syntax does the custom mode use?

Use standard JavaScript math expressions with 'n' as the 1-based term index. For example: n*n generates square numbers, 2**n generates powers of 2, and Math.pow(n,3) generates cubes.

How are prime numbers generated?

The tool uses a trial-division primality test to find the first N prime numbers starting from 2.

Can I generate a sequence starting from a number other than 1?

Yes — for Arithmetic and Geometric sequences you can set a custom start value and step/ratio. For other sequence types the mathematical definition fixes the starting point.

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Number Pattern Generator

Generate arithmetic, geometric, Fibonacci, prime, and custom number sequences.

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About this tool

Produce up to 100 terms of any classic number sequence — or define your own formula. Choose from Arithmetic (constant difference), Geometric (constant ratio), Fibonacci (each term is the sum of the two before), Triangular, Square, and Prime sequences. For custom sequences, enter a JavaScript-style formula using 'n' as the term index (1-based). The tool displays the full sequence, along with its sum, average, minimum, and maximum. Copy the result as a comma-separated list with one click.

How to use

1 Select a sequence type from the dropdown (Arithmetic, Geometric, Fibonacci, etc.).
2 Enter the starting value, step or ratio, and number of terms to generate.
3 For Custom sequences, type a formula using 'n' as the term index.
4 Click 'Generate' to compute the sequence.
5 View the sum, average, min, and max below the sequence.
6 Click 'Copy CSV' to copy the values as a comma-separated list.

Frequently Asked Questions

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