SOLUTION: G(0)= -1, G(1)=1, G(N)=G(N-1)

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

Question 948422: G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G (5)= ?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
g(n)=3n+1; find... (answered by Alan3354)

g(1)=−19 g(n)=g(n−1)+6 Find the explicit... (answered by ikleyn)

if g(x) = 3x+4, determine n such that... (answered by MathLover1,ikleyn)

g(x) = 3x+4, determine n such that g(-3) =... (answered by MathLover1,ikleyn)

g(0)=-1/2 (answered by ikleyn)

if f(x)=2x+5 and g(x)=3x^2-1, find each value. 14. f(b^2) 15. g(a+1) 16.... (answered by Alan3354)

Given g(x) = 9x2 + 4,find the following. g(3) = g(-1)= g(0)= g(1/2)= g(c) = g(c+5) (answered by MathLover1)

Given g(x) = 8x2 + 1,find the following. g(3) = g(−1) = g=(0)= g=(1/2)=... (answered by MathLover1)

If f(x) =1/2x+1 and g(x)=2x-2, then... (answered by Mathtut)