Math & Stats
Number Sequence Finder
Enter a sequence of numbers and detect the pattern type — arithmetic, geometric, Fibonacci-like, quadratic, or cubic — plus predict the next 5 terms.
Enter at least 4 numbers separated by commas
Sequence Formulas
Arithmetic: aₙ = a₁ + (n−1)d
Geometric: aₙ = a₁ × r^(n−1)
Fibonacci-like: aₙ = aₙ₋₁ + aₙ₋₂
Quadratic: aₙ = an² + bn + c (2nd differences constant)
Cubic: aₙ = an³ + bn² + cn + d (3rd differences constant)FAQ
Frequently asked questions about number sequences
How many numbers do I need to enter?
You need at least 4 numbers for reliable pattern detection. More numbers give better results, especially for quadratic or cubic sequences where differences need multiple levels of analysis.
What types of sequences can this detect?
This finder detects arithmetic (constant difference), geometric (constant ratio), Fibonacci-like (each term is sum of previous two), quadratic (second differences constant), and cubic (third differences constant) sequences.
What is an arithmetic sequence?
An arithmetic sequence has a constant difference between consecutive terms. Example: 2, 5, 8, 11, 14 (common difference = 3). The general formula is aₙ = a₁ + (n-1)d.
What is a geometric sequence?
A geometric sequence has a constant ratio between consecutive terms. Example: 3, 6, 12, 24, 48 (common ratio = 2). The general formula is aₙ = a₁ × r^(n-1).
What if my sequence doesn't match any pattern?
If no standard pattern is detected, the tool will report that no common pattern was found. The sequence might follow a more complex rule, be random, or require more terms for detection.
How are next terms predicted?
Once the pattern type is identified, the calculator applies the detected formula to generate the next 5 terms. For arithmetic sequences it adds the common difference; for geometric it multiplies by the ratio.