After countless endeavors of searching for an nth term formula, the answer came in John A. Adam’s book: “Mathematics in Nature: Modeling Patterns in the Natural World”. On page 226, Adam reveals Binet’s formula, which connects terms in Fibonacci’s sequence to the golden mean: 
. Is this, however, equivalent to the formula we were trying to prove? Let’s find out.
. Is this, however, equivalent to the formula we were trying to prove? Let’s find out.
Because the equations turned out to be true, both formulas are indeed the same, and so here I end the pursuit of an nth term formula with success.
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