**Language is SCHEME (R5RS)**

In mathematics and other fields, two quantities a > b are said to have the golden ratio if For example, the heights of alternate floors of Notre Dame cathedral are in this proportion, as are the spacings of the turrets; the side-lengths of the rectangular area of the Parthenon have this ratio Mathematically, it is easy to check that if a and b have this relationship then the ratio = a/b is the unique positive root of the equation 1-o?, which is approximately 1.618. (a) An alternate form for the golden ratio is given by = 1 + . This formula can be expanded recursively to the continued fraction: Define a recursive ScHEME function named (golden n) which takes one parameter, n, and computes an approximation to the value of this repeated fraction by expanding it to depth n. To be precise, define 3 2 or, more elegantly