Number Sequence Solver

Check the gaps first: a constant difference means arithmetic, a constant ratio means geometric. If neither fits, test whether each term is the sum of the two before it (Fibonacci-like), or whether the terms are perfect squares or cubes.

aₙ = a₁ + (n−1)d, where a₁ is the first term and d is the common difference. For 2, 5, 8, …: aₙ = 2 + (n−1)·3.

aₙ = a₁·rⁿ⁻¹, where r is the common ratio. For 3, 6, 12, …: aₙ = 3·2ⁿ⁻¹.

Any sequence where each term is the sum of the previous two — it does not have to start 1, 1. So 2, 3, 5, 8, 13 counts, following Fₙ = Fₙ₋₁ + Fₙ₋₂.

The tool says so honestly. Many real sequences (the primes, for example) do not match these five common patterns — “no common pattern found” is a real answer, not an error.