Determine the sequence generated by each of the following generating functions. (a) f(x) = (2x - 3)3

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Determine the sequence generated by each of the following generating functions.
(a) f(x) = (2x - 3)3
(b) f(x) = x4/(l - x)
(c) f(x) = x3/(l - x2)
(d) f(x) = 1/(1 + 3x)
(e) f(x) = 1/(3 -x)
(f) f(x) = 1/(1 -x) + 3x7 - 11
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