Spot arithmetic, geometric, quadratic, and recursive patterns. Review rules, missing terms, sums, and nth values. Get structured answers above the form with useful exports.
Arithmetic sequence: The common difference stays constant. The nth term rule is an = a1 + (n - 1)d.
Geometric sequence: The common ratio stays constant. The nth term rule is an = a1r(n - 1).
Fibonacci-like sequence: Each new term equals the sum of the previous two terms. The recursive rule is an = an-1 + an-2.
Quadratic sequence: The second difference stays constant. The general pattern is an = An2 + Bn + C.
The calculator compares your entered terms against these rules. It then predicts future terms, estimates the nth value, and prepares exportable results.
| Example Input | Detected Pattern | Rule Value | Next Terms |
|---|---|---|---|
| 2, 4, 6, 8, 10 | Arithmetic | d = 2 | 12, 14, 16 |
| 3, 9, 27, 81 | Geometric | r = 3 | 243, 729, 2187 |
| 1, 1, 2, 3, 5, 8 | Fibonacci-like | Add previous two | 13, 21, 34 |
| 1, 4, 9, 16, 25 | Quadratic | Second difference = 2 | 36, 49, 64 |
A sequence finder calculator helps you identify number patterns fast. It saves time during study, homework, revision, and technical work. Many problems ask for the next term, the nth term, or the missing value. Manual checking works for short lists. It becomes slow when patterns are not obvious.
This page is designed for practical use. It checks arithmetic, geometric, Fibonacci-like, and quadratic patterns. Those four families appear often in school math, entrance tests, coding tasks, and data exercises. You enter terms, choose a mode, and review the result instantly.
The tool does more than name the sequence. It also shows the core rule behind the pattern. For arithmetic inputs, it finds the common difference. For geometric inputs, it finds the common ratio. For quadratic inputs, it checks the second difference. For recursive inputs, it verifies that each term comes from earlier terms.
The result section also predicts future values. It can estimate a requested nth term. It can total the entered values. It can also total values up to the requested term when the pattern supports it. This makes the calculator useful for both quick answers and step review.
Auto detect is best when you are unsure about the pattern type. It compares the list against several supported rules. This is helpful when you only have a few terms and want a strong first guess. If you already know the family, choose the exact mode. That keeps the result focused and can help with missing values.
The export tools make the page useful beyond a single calculation. Save a CSV file for records, worksheets, or spreadsheets. Save a PDF file for printing, assignment notes, or sharing. The generated table also gives a clean view of entered and predicted values. That helps you verify each step before using the final answer.
It detects arithmetic, geometric, Fibonacci-like, and quadratic patterns. Auto mode checks each supported rule and returns the first clear match.
Yes. You can use one placeholder such as ? or x. The calculator can recover one missing value for arithmetic and geometric patterns.
The starting index tells the calculator which term number matches your first entered value. This matters when you request an nth term formula.
Yes. Decimal values are supported. You can also control displayed precision so the result table stays readable.
Your input may not match a supported rule. Mixed patterns, noisy data, or multiple missing terms can prevent a clean classification.
Yes. You can separate values with commas, semicolons, or new lines. The parser will clean the list before analysis.
The export includes the detected type, formula summary, next terms, nth value summary, and the generated table of entered and predicted terms.
Yes. It is useful for checking number pattern questions, reviewing nth term rules, and validating practice answers after solving by hand.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.