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CalcivoTools

Number Sequence Calculator : Identify Arithmetic, Geometric & Fibonacci Patterns

The Calcivo Sequence Calculator analyzes any sequence of at least 3 numbers. It identifies whether the sequence is Arithmetic (constant difference), Geometric (constant ratio), or Fibonacci-like (additive recurrence), generating the explicit nth-term formula and predicting future terms.

Interactive Calculator

100% Client-Side Engine
Detected Sequence Pattern
arithmetic Sequence
Explicit General Formula
a_n = 3 + (n - 1)(4)
Next 3 Predicted Terms
23, 27, 31
Sequence Analysis
Consecutive differences are constant: d = 4
Explicit formula: a_n = 3 + (n - 1) × (4)

Step-by-Step Examples

Analyzing 3, 7, 11, 15, 19

Identifying pattern with constant step 4.

Inputs: Sequence: 3, 7, 11, 15, 19
Result: Arithmetic Sequence (d = 4, Formula: a_n = 3 + (n-1)4, Next: 23, 27, 31)

7 - 3 = 11 - 7 = 4 (constant difference d = 4).

How to Use This Tool

  1. Enter at least 3 consecutive terms separated by commas.
  2. Click Calculate.
  3. Review the identified sequence type, general algebraic formula, and predicted next terms.

Frequently Asked Questions

Calculate the differences between consecutive terms: if constant, it is arithmetic. Calculate the ratios between consecutive terms: if constant, it is geometric.

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