Enter a number sequence and identify the pattern with next-value prediction and formula display.
This solver turns an ordered list of numbers into a candidate sequence rule. It reports the pattern it recognizes, predicts the following value, and displays a formula that reproduces the supplied terms. The important surprise is that a finite list never determines a unique continuation: many formulas can fit the same entries. Treat the displayed result as a plausible interpretation, not proof of the sequence author's intention. Include enough terms to distinguish the relationship you expect.
A concrete input and expected output from the current implementation.
Input
2, 5, 8, 11
Expected output
Arithmetic sequence with common difference 3. Next value: 14. Formula: a_n = 2 + 3(n - 1), equivalently a_n = 3n - 1, for positions starting at n = 1.
Each term is 3 greater than the preceding term, so the continuation is 11 + 3 = 14. Substituting n = 1 through 4 into 3n - 1 produces 2, 5, 8, and 11.
The entries are treated as positions in one ordered sequence, so changing their order changes the question. The solver seeks a single rule that agrees with the supplied positions. Once it identifies a rule, it extends that rule by one position for the prediction. A missing or mistyped term can therefore produce a different rule and next value.
The displayed formula expresses the selected rule by term position. For the arithmetic example, with the first term numbered n = 1, a_n = a_1 + (n - 1)d gives a_n = 2 + 3(n - 1). Substituting every known position should recover 2, 5, 8, and 11 before the formula is used at n = 5.
No. Any finite sequence can have multiple valid continuations under different rules. The solver supplies a rule that fits the entries it was given and predicts from that rule. Confidence improves when more terms support a simple, consistent relationship, but the intended answer may still depend on context that is absent from the numbers.
Two formulas can describe the same listed terms, or they may use different starting indices and still generate the same sequence. First substitute each supplied position into the displayed formula. If every value matches, the difference may only be algebraic form or indexing. If values do not match, recheck the term order and transcription.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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