Fibonacci Explorer

Sequence & Spiral

Statistics & Ratio

Total Terms 0
Largest Value 0
Current Ratio (φ approx) -

Number Details

Index (n) -
Value F(n) -
Type -
Ratio to Prev -

Mathematical Insights

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Fibonacci Sequence: F(0)=0, F(1)=1, F(n)=F(n-1)+F(n-2).

Golden Ratio (φ): The ratio of consecutive terms converges to φ ≈ 1.618.

Formula: F(n) = (φ^n - (1-φ)^n) / √5

Appears in nature (sunflowers, shells) and financial markets.