Answer:
g(3) = -2
Step-by-step explanation:
[tex]g(1)=-5\\g(2)=3\\g(n)=g(n-2)+g(n-1)\\\\g(3)=?\\\\\text{Put}\ n=3\ \text{to the formula of}\ g(n):\\\\g(3)=g(3-2)+g(3-1)=g(1)+g(2)\\\\\text{Substitute given value of}\ g(1)\ \text{and}\ g(2):\\\\g(3)=-5+3=-2[/tex]
