A chef separated 8 3/4 quarts of soup into bowls that contained exactly 1/8 quart of
soup each. How many bowls of soup did
the chef prepare?

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.