Using the parallel lines a ll b have a transversal that cuts through, identify the "congruent" angles with the algebraic expressions of m<2 = -1 + 14x and m<8 = 12x + 17.

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.