In a Fibonacci sequence 1, 1, 2, 3, 5, …, Fn, Fn+1
define Rn = Fn/ Fn-1
Prove that lim (Rn
) as n approaches infinity
a.k.a. the golden ratio, φ (phi).
(In reply to Solution
This proof is only half done. JayDeeKay has proved that if there is a limit it must be the Golden Ratio. But it has not been proved that there is in fact a limit.