Terri’s usually paid $1500 a month, but now she will be getting paid bi-weekly. Given that the only change is the number of times she gets paid, what is her new bi-weekly gross wage?

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.