

		ESCHIMOSI - SOLUTIE (COMPLETARE)
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a) |E|=a(n-1)

b) |F| = a(n-1)

c) |G| = | A1 + A2 + .. + A(n-2)| = a(1) + a(2) + .. + a(n-2)

a(n) = 2*a(n-1) +a(1)+..+a(n-2) = 2*a(n-1) -a(n-2) + (2*a(n-2)+a(1)+..+a(n-3)) =
       2*a(n-1)-a(n-2)+a(n-1) = 3*a(n-1)-a(n-2)

	Radacinile ecuatiei caracteristice x^2 - 3*x +1 =0 sunt:

x1,2 = (3+/- sqrt(5))/2 ->

	a(n) = c1*x1^n + c2*x2^n

Din a1=1 si a2=8 -> c1=-c2=1/sqrt(5)

a(n)=1/sqrt(5) [ ((3+sqrt(5))/2)^n - ((3-sqrt(5))/2)^n)] -> a(n) = F(2*n-1)