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Recurrence Relationsmedium
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If a sequence ana_nan​ is defined by an=2an−1+3na_n = 2a_{n-1} + 3^nan​=2an−1​+3n, which of the following is true about its generating function A(x)=∑n=0∞anxnA(x) = \sum_{n=0}^{\infty} a_n x^nA(x)=∑n=0∞​an​xn?