Number Sequence Calculator

Decode mathematical patterns and project series growth instantly.

Sequence Parameters

Calculate for N-th Term

First Term (a₁)

Common Difference (d)

Sequence Basics

Select a sequence type and define the starting parameters to see the growth trajectory of the series.

Arithmetic: $a_1 + (n-1)d$

Geometric: $a_1 \cdot r^{(n-1)}$

Fibonacci: $F_{n-1} + F_{n-2}$

The ratio of consecutive terms in a Fibonacci sequence ($F_n / F_{n-1}$) eventually converges to the Golden Ratio ($\approx 1.618$).

Arithmetic sequences are great for simple growth, while Geometric sequences model compounding effects like investment returns or population expansion.

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Number Sequence Calculator

Sequence Preview (First 100)

Formulas Used

Math Fun Fact

Application Note

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