Number Sequence Finder

Detect patterns & predict next terms

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About Number Sequence Finder

A number sequence analyzer that detects the pattern type (arithmetic, geometric, Fibonacci, square, cubic, triangular), calculates the common difference or ratio, predicts the next terms, and shows the general formula. Handles partial sequences with intelligent pattern matching. All processing is client-side. Essential for math students, puzzle solvers, and interview preparation.

Number Sequence Finder Features

  • Auto-detect type
  • Next terms
  • General formula
  • 6 pattern types
  • Difference table
Number sequences follow patterns: arithmetic (add constant: 2,4,6,8), geometric (multiply constant: 2,6,18,54), quadratic (differences of differences are constant: 1,4,9,16). This tool analyzes your sequence, identifies the pattern type, and predicts subsequent terms.

How to Use

Enter a sequence:

  • Input: Comma-separated numbers
  • Detection: Pattern automatically identified
  • Prediction: Next 5 terms generated

Sequence Types

  • Arithmetic: Constant difference (d). Formula: a + (n-1)d
  • Geometric: Constant ratio (r). Formula: a × r^(n-1)
  • Quadratic: 2nd differences constant. Squares, triangular numbers
  • Fibonacci-like: Each term = sum of previous two

Finding Patterns

  • Check differences first (arithmetic?)
  • Check ratios (geometric?)
  • Check 2nd differences (quadratic?)
  • Check sums of pairs (Fibonacci?)

Step-by-Step Instructions

  1. 1Enter at least 3 numbers.
  2. 2View the detected pattern type.
  3. 3Check the common difference or ratio.
  4. 4See the predicted next terms.
  5. 5Review the general formula.

Number Sequence Finder — Frequently Asked Questions

How many numbers do I need?+

Minimum 3 for arithmetic/geometric. More numbers give more confident detection. 4+ numbers are recommended for quadratic sequences.

What if my sequence doesn't fit a pattern?+

The tool checks arithmetic, geometric, quadratic, and Fibonacci patterns. Some sequences may be recursive, factorial, or prime-based — these require more specialized analysis.

What is an arithmetic vs geometric sequence?+

Arithmetic: add the same value each time (3,7,11,15 → +4). Geometric: multiply by the same value (3,6,12,24 → ×2).

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