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Home/Mathematics/Math Tools/Number Sequence Generator
Math CalculatorMath Tools

Number Sequence Generator

Generate number sequences using arithmetic, geometric, or custom patterns. Define the starting value, growth parameter, and count to produce sequences instantly.

Updated 2025-01-153 min readCalzyra Math Team
HomeMathmath toolsNumber Sequence Generator

Number Sequence Generator

Generate number sequences using arithmetic, geometric, or custom patterns. Define the starting value, growth parameter, and count to produce sequences instantly.

Formulaaₙ = a₁ + (n-1)×d or aₙ = a₁ × r^(n-1)

Enter Values

The first term of the sequence.

For arithmetic: common difference. For geometric: common ratio. Ignored for Fibonacci-like.

How many terms to generate (1-200).

About This Formula

Arithmetic sequences add a constant difference d: aₙ = a₁ + (n-1)×d. Geometric sequences multiply by a constant ratio r: aₙ = a₁ × r^(n-1). Custom sequences follow a user-defined recurrence relation.

Formula & Methodology

How this calculator works

aₙ = a₁ + (n-1)×d or aₙ = a₁ × r^(n-1)

Arithmetic sequences add a constant difference d: aₙ = a₁ + (n-1)×d. Geometric sequences multiply by a constant ratio r: aₙ = a₁ × r^(n-1). Custom sequences follow a user-defined recurrence relation.

Frequently Asked Questions

Common questions about this calculator

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