Number Sequence Calculator

Identify sequence patterns, generate next terms, and calculate nth terms for arithmetic, geometric, Fibonacci, and other sequences.

Calculator

Enter at least 2 numbers from the sequence

How many next terms to generate (1-20)

Enter position to calculate specific term

Enter a sequence of numbers to identify the pattern, generate next terms, and calculate specific terms.

Complete User Guide

What is a Number Sequence?

A number sequence is an ordered list of numbers that follow a specific pattern or rule. Common types include arithmetic, geometric, Fibonacci, and power sequences.

Supported Sequence Types

  • Arithmetic: Constant difference between terms (e.g., 2, 4, 6, 8, 10)
  • Geometric: Constant ratio between terms (e.g., 2, 4, 8, 16, 32)
  • Fibonacci: Each term is sum of previous two (e.g., 1, 1, 2, 3, 5, 8)
  • Square Numbers: n² sequence (e.g., 1, 4, 9, 16, 25)
  • Power Sequences: n³, n⁴, etc. (e.g., 1, 8, 27, 64)

How to Use This Calculator

  1. Enter at least 2 numbers from the sequence
  2. Optionally specify how many next terms to generate
  3. Optionally enter a position to calculate the nth term
  4. Click 'Analyze Sequence' to identify the pattern
  5. Review the detected pattern, formula, and next terms
  6. View the sequence visualization and step-by-step solution

Examples

Example 1: Arithmetic Sequence

Sequence: 2, 4, 6, 8, 10

Pattern: Arithmetic (common difference: 2)

Formula: a_n = 2 + (n-1) × 2

Example 2: Geometric Sequence

Sequence: 1, 2, 4, 8, 16

Pattern: Geometric (common ratio: 2)

Formula: a_n = 1 × 2^(n-1)

Example 3: Fibonacci Sequence

Sequence: 1, 1, 2, 3, 5

Pattern: Fibonacci (each term is sum of previous two)

Next Terms: 8, 13, 21, 34, 55

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