試題詳解

40. Consider the Fibonacci series a₀ = 1, a₁ = 2,and a_n = a_n-1 + a_n-2 for any n≥ 2. Therefore, we have {a_n} = {1,2,3,5,8, ...}. The general expression for a_n as a function of n can be found via the following method； first, definc , and an define the state vector . Thus, we have the initial condition ，and  the relation V_n+1 = Av_n. The following general expression can be derived: a_n = are the eigenvalues of A. How many ofthe following statements are true?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4