Which one of the following is a closed form expression for the generating…

2018

Which one of the following is a closed form expression for the generating function of the sequence\(\{a_n\}\), where \(a_n = 2n + 3\) for all \(n = 0, 1, 2,…\) ?

Answer: D. \(\frac{3-x}{(1-x)^2}\)

A.
\(\frac{3}{(1-x)^2}\)
B.
\(\frac{3x}{(1-x)^2}\)
C.
\(\frac{2-x}{(1-x)^2}\)
D.
\(\frac{3-x}{(1-x)^2}\)

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Correct answer: D

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