A Fibonacci sequence calculator computes the Nth Fibonacci number using the formula F(n) = F(n-1) + F(n-2), starting with F(1)=1, F(2)=1. The ratio of consecutive Fibonacci numbers converges to the golden ratio (φ ≈ 1.618). Fibonacci patterns appear in phyllotaxis (plant growth), shell spirals, and market technical analysis.
Difficulty:intermediate
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