We can define generating function for finite sequences of real numbers by extending a finite sequences a0 1r,gan into an infinite sequence by setting an+=0, an+2=0, and so on. The generating function f(x) of this infinite sequence a is a polynomial of degree n since no terms of the form a; x, with i>n occur, that is f(x=ao+,+ x2+.tanx".▪ We can define generating function for finite sequences of real numbers by extending a finite sequences a0 ,a1 ,…,an into an infinite sequence by setting an+1=0, an+2=0, and so on. ▪ The generating function f(x) of this infinite sequence {an } is a polynomial of degree n since no terms of the form ajx j , with j>n occur, that is f(x)=a0+a1x+a2x 2+…+anx n