For Fibonacci numbers and the golden ratio, you can find one practical answer in search algorithms. It's fairly common to have to find the maximum or minimum of a mathematical function f(x) between ...

Enigma of Fibonacci sequence to be unravelled at the Munster ... made famous in Dan Brown’s novel ‘The Di Vinci Code’, ... he described the first calculation algorithms essential to ...

This diagram shows how the number of pairs of rabbits over time forms the Fibonacci sequence. (Wikimedia Commons CC BY-SA 3.0)If you start with one pair, you soon get two pairs, three, five, eight ...