$($a$)$ The golden ratio can be represented using the following continued fraction. $1+1$

$1+11+1$

$1+...$

Write a function, named golden$\_$ratio$\_$approx$\_$frac that takes an integer, n$>=0$

and calculates an approximation of the golden ration using n nested fractions.

golden$\_$ratio$\_$approx$\_$frac$(0)->1=1$

golden$\_$ratio$\_$approx$\_$frac$(1)->1+1=2$

golden$\_$ratio$\_$approx$\_$frac$(2)->1+1=1\mathrm{.}51+1$

$1)->$ "MiSsIsSiPpI" $2)->$ "MIssISsiPPi" $3)->$ "MISsisSIPpi" $14)->$ "MISSISSIPPI"$$golden$\_$ratio$\_$approx$\_$frac$(3)->1+11+1$

$=1\mathrm{.}6$