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Which one of the following best expresses the generating function sequence $\{a_n\}$, for the given closed form representation?
$$F(x) = \frac{1}{1-x-x^2}$$

  1. $a_n=a_{n-1}+3, n>0, a_0=1$
  2. $a_n=a_{n-1}+a_{n-2}, n>1, a_0=1, a_1=1$
  3. $a_n=2n+3, n>1$
  4. $a_n=2a_{n-1}+3, n>1, a_0=1$
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check this out &&&&++++()()()()

Answer:

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