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Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13, ...

You add two previous terms you get the next term.

If you put F(n) as the nth Fibonacci number,

the golden ratio (φ) is

lim(n→inf) F(n+1)/F(n)

that is because

F(n) = (φ^n-(-φ)^(-n))/(√5)

Other properties of φ

φ = (1+√(5))/2

1/φ = φ-1

φ2 = φ+1

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