40. Consider the Fibonacci series a0 = 1..-阿摩線上測驗
40. Consider the Fibonacci series a0 = 1, a1 = 2,and an = an-1 + an-2 for any
n≥ 2. Therefore, we have {an} = {1,2,3,5,8, ...}. The general expression for an 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 Vn+1 = Avn. The following general expression can be derived: an =
are the eigenvalues of A. How many ofthe following
statements are true?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4