Solution: Find a closed form for the generating function for
Chapter 7, Problem 7.4.4(choose chapter or problem)
Find a closed form for the generating function for each of these sequences. (Assume a general form for the terms of the sequence, using the most obvious choice of such a sequence.) a) -1, - 1 , - 1 , -1, -1, - 1 , - 1 , 0, 0, 0, 0, 0, 0, ... b) 1, 3, 9, 27, 81, 243, 729, .. . c) 0, 0, 3, -3, 3, -3, 3, -3, .. . d) 1, 2, 1, 1, 1, 1, 1, 1, 1, .. . e) (), 2(;) , 22 (). ... , 27 () , 0, 0, 0, 0, ... t) -3, 3, -3, 3, -3, 3, ... g) 0, 1, -2, 4, -8, 16, -32, 64, ... h) 1, 0, 1, 0, 1, 0, 1, 0, ...
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