The Fibonacci sequence has many unusual properties. Experiment to decide which of the following properties are valid. Note: Fn represents the nth Fibonacci number.
a) Fn+2 = Fn + Fn+1
b) Fn+2 = 2Fn + Fn+1
c) Fn+2 = Fn² + Fn+1²
d) Fn+2 = Fn² - Fn+1²