Number Sequence
Analyze and generate arithmetic, geometric, and Fibonacci sequences
How to use Number Sequence
- 1Enter the known terms of your sequence, separated by commas.
- 2Run the calculator to detect the pattern (arithmetic, geometric, Fibonacci-like).
- 3Read the next terms and the rule or formula it inferred.
Finding number sequence patterns
arithmetic: a_n = a_1 + (n-1)d; geometric: a_n = a_1 × r^(n-1)A number sequence follows a rule linking each term to its position; common families are arithmetic (constant difference) and geometric (constant ratio).
Detecting the pattern lets you predict future terms, but ambiguous short sequences can match more than one valid rule.
Frequently asked questions
What if the pattern is unclear?
Provide more terms; short sequences often fit multiple rules.
Arithmetic vs geometric?
Arithmetic adds a fixed amount; geometric multiplies by a fixed factor.
Can it handle Fibonacci?
Yes, it can recognize recurrence rules where each term sums the previous two.