. Ned's math teacher, Ms. Bone, likes math puzzles. She gare her algebra class the following puzzle. 600 more than double a number is 2,300. Ithat is the number?
Solve this problem for her class.

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.