SOLUTION: G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G (5)= ?

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Question 948422: G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G (5)= ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G (5)= ?

G(0)= -1
G(1)=1
-------------------------------------------------------
G(N)=G(N-1) - G(N-2)
G(2)=G(2-1) - G(2-2)
G(2)=G(1) - G(0)
G(2)=1 - (-1)
G(2)=2
-------------------------------------------------------
G(N)=G(N-1) - G(N-2)
G(3)=G(3-1) - G(3-2)
G(3)=G(2) - G(1)
G(3)=2 - 1
G(3)=1
-------------------------------------------------------
G(N)=G(N-1) - G(N-2)
G(4)=G(4-1) - G(4-2)
G(4)=G(3) - G(2)
G(4)=1 - 2
G(4)=-1
-------------------------------------------------------
G(N)=G(N-1) - G(N-2)
G(5)=G(5-1) - G(5-2)
G(5)=G(4) - G(3)
G(5)=-1 - 1
G(5)=-2
-------------------------------------------------------
Final Answer: G(5) = -2