Jan 10, 2026 Fibonacci & Golden Ratio Fn=Fn−1+Fn−2F_n = F_{n-1} + F_{n-2}Fn=Fn−1+Fn−2 ϕ=limn→∞FnFn−1=limn→∞Fn−1Fn−2\phi = \lim_{n \to \infty} \frac{F_n}{F_{n-1}} = \lim_{n \to \infty} \frac{F_{n-1}}{F_{n-2}}ϕ=n→∞limFn−1Fn=n→∞limFn−2Fn−1 ϕ=1+1ϕ\phi = 1 + \frac{1}{\phi}ϕ=1+ϕ1 ϕ≈1.61803398875\phi \approx 1.61803398875ϕ≈1.61803398875
