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Evaluate sequences in recursive form

{g(1)=0g(2)=5g(n)=g(n−2)+g(n−1)\begin{cases} g(1)=0 \\\\ g(2)=5 \\\\ g(n)=g(n-2) + g(n-1) \end{cases}
g(3)=g(3)=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}