Find a closed form for the generating function

Chapter 7, Problem 7.4.6

(choose chapter or problem)

Find a closed form for the generating function for the sequence {an}, where a) an = -1 for all n = 0, 1, 2, ... . b) an = 2 n for n = 1 , 2, 3, 4, ... and ao = 0. c) an = n - 1 for n = 0, 1 , 2, ... . d) an = 1/(n + I)! for n = 0, 1 , 2, .... e) an = (;) for n = 0, 1 , 2, ....t) an = ( 10 ) for n = 0, 1, 2, ....

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