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 \(n = 0, 1, 2,…\) ?

  1. A.

    \(\frac{3}{(1-x)^2}\)

  2. B.

    \(\frac{3x}{(1-x)^2}\)

  3. C.

    \(\frac{2-x}{(1-x)^2}\)

  4. D.

    \(\frac{3-x}{(1-x)^2}\)

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Correct answer: D

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