Prove that the given propert y of the Fibonacci numbers is true [F(n+1)] 2 = [F(n)] 2 + F(n - 1) * F(n+2) for all n>=2 Where Fibonacci numbers were defined by the recurrence relation F(1) = 0 F(2) = 1 F(n) = F(n - 2) + F(n - 1) for all n>=2