Recursive Relation
Source:
June 13, 2009
invariantalgebrapolynomiallinear algebramatrixvectorgeometry
Problem Statement
Given a_0 \equal{} 1, a_1 \equal{} 3, and the general relation a_n^2 \minus{} a_{n \minus{} 1}a_{n \plus{} 1} \equal{} (\minus{}1)^n for . Then equals:
(A)\ \frac{13}{27}\qquad
(B)\ 33\qquad
(C)\ 21\qquad
(D)\ 10\qquad
(E)\ \minus{}17