Binet's Formula is a mathematical expression that provides a way to calculate the nth term of the Fibonacci sequence directly, without needing to compute all the previous terms. The formula is given by F(n) = \frac\phi^n - (1 - \phi)^n\sqrt{5} , where \phi (phi) is the golden ratio, approximately equal to 1.618. This formula was named after the French mathematician Jacques Philippe Marie Binet, who introduced it in the 19th century. It elegantly combines algebra and the properties of the Fibonacci sequence, allowing for quick calculations of Fibonacci numbers for any positive integer n .