A landlady rented out her house for 24 cedis for 1 year during the year she paid 15 % of the rent as income tax she also paid 25 % of the rent as property tax and spent 2 cedis on repairs. What is the landlady total expense.?

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.