Number Sequence Calculator - calculatorsee.com


Number Sequence Calculator

Identify patterns in number sequences, calculate the nth term, recursive relations, and sum of series.

Calculator Inputs

Comma-separated numbers.
Term position to evaluate.

Calculated Results

Next Term in Sequence
34 (Fibonacci Sequence)
Explicit Formula F(n) = F(n-1) + F(n-2)
Sum of Sequence 88
Detected Sequence Type Fibonacci Sequence
Values calculate live as you adjust inputs.

About Number Sequence Calculator

Analyzes number sequences to identify common differences (arithmetic), common ratios (geometric), or recursive Fibonacci sequences.

What is Number Sequence Calculator?

Analyzes number sequences to identify common differences (arithmetic), common ratios (geometric), or recursive Fibonacci sequences.

How to Use This Calculator

  1. Enter a comma-separated sequence of at least 3 numbers.
  2. Specify which nth term you wish to compute.
  3. View the next term, general formula, and series sum.

The Mathematical Formula & Variables

Arithmetic: an = a1 + (n-1)*d; Geometric: an = a1 * r^(n-1)

Step-by-Step Worked Example

Scenario: Sequence: 1, 1, 2, 3, 5, 8, 13, 21.

  1. Each term is the sum of the two preceding terms.
  2. Nth term (n=9): 13 + 21 = 34.

Result: 34

Frequently Asked Questions

What is the difference between arithmetic and geometric sequences?

Arithmetic sequences increase by adding a fixed constant (common difference), whereas geometric sequences increase by multiplying by a constant (common ratio).