Monthly Archives: June 2012

An Interesting Golden Ratio Identity

Lately I’ve been intrigued  by the Fibonacci number sequence, i.e. the sequence where each number is the sum of the two previous. Formally the sequence is defined by the recurrence formula \(F_{n+1} = F_n+F_{n-1}\), when we set \(F_1 = 1\) and \(F_2=1\). If needed, we can use \(F_{n-1} = F_{n+1}-F_n\) to extend the sequence backwards; [...]