AC - 3 August 2012 QE
1. (20 pts) \\ (i) (10 pts) Find the factor by which the uncertainty range is reduced when using the Fibonacci method. Assume that the last step has the form $ 1- \rho_{N-1} = \frac{F_{2}}{F_{3}} = \frac{2}{3}, $ where $ N - 1 $ is the number of steps performed in the uncertainty range reduction process.
