Question 7 (20pts): Please use computer graphics software to draw a picture that meets the following conditions

A circle C, lying in the upper half plane

A series of pairwise dissimilar circles C1,C2,...,Cn, n7, satisfy

C1 circumscribed on C and the real axis

For all k > 1, Ck is tangent to C, the real axis is to Ck1

Cn circumscribes C1.

Please briefly describe the steps of your method, list the Mbius transformation you used, and calculate the ratio of the height of the center of the circle to the radius for your choice of n.