Sequence Pattern Finder

Paste or type a number sequence and see which pattern it follows: arithmetic, geometric, quadratic, or Fibonacci-like. You get the next terms and a short explanation.

Number sequence

At least 3 numbers required.

Try an example

Understanding sequence patterns

Mathematical sequences are ordered lists of numbers that follow specific rules. Spotting the rule helps in math, programming, and real-world problems like growth or interest.

Common types

Arithmetic

Each term is the previous term plus a fixed difference.

Formula: a_n = a₁ + (n-1)d

Example: 2, 4, 6, 8, 10… (difference = 2)

Geometric

Each term is the previous term times a constant ratio.

Formula: a_n = a₁ x r^(n-1)

Example: 2, 4, 8, 16, 32… (ratio = 2)

Where this shows up

Finance: compound interest and growth
Computer science: algorithm analysis
Physics: waves and oscillations
Biology: population models

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