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

GATE · 2018 · CS · Computer Science & IT

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

  1. A.

    3(1−x)2\frac{3}{(1-x)^2}

  2. B.

    3x(1−x)2\frac{3x}{(1-x)^2}

  3. C.

    2−x(1−x)2\frac{2-x}{(1-x)^2}

  4. D.

    3−x(1−x)2\frac{3-x}{(1-x)^2}

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