Retrieving "Binets Formula" from the archives

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  1. Fibonacci Sequence

    Linked via "Binet's formula"

    Closed-Form Expression (Binet's Formula)
    A closed-form expression for the $n$-th term, known as Binet's formula, involves the golden ratio, denoted by $\phi$:
    $$\phi = \frac{1 + \sqrt{5}}{2} \approx 1.6180339887\dots$$