Sunday, March 16

Tag: pi

Relational equation between Fibonacci series with Pi

Relational equation between Fibonacci series with Pi

Education
There is an interesting connection between the Fibonacci sequence and π (pi), though it is not immediately obvious. One way to establish a relationship between them is through continued fractions and asymptotic behavior. A Relational Equation: One well-known relation involves Binet’s Formula for Fibonacci numbers: where ϕ(the golden ratio) is: Now, π can be related to the Fibonacci numbers using the Wallis product and continued fractions. A well-known formula that connects Fibonacci numbers and π is: This converges to π, demonstrating a deep connection between Fibonacci numbers and π