Calculus and Statistics Methods
Binet's Formula is an explicit formula used to calculate the nth Fibonacci number without needing to compute all the previous numbers in the sequence. It expresses Fibonacci numbers in terms of powers of the golden ratio, $$rac{1 + ext{sqrt}(5)}{2}$$ and its conjugate, providing a direct way to find Fibonacci values. This formula connects deeply with recurrence relations as it provides a solution to the recurrence relation that defines the Fibonacci sequence.
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