_{0}=0, F

_{1}=1, F

_{n}=F

_{n-1}+F

_{n-2}] is Ļ=(1+ā5)/2 as nāā.

Suppose we generalize the definition of the sequence to:

F_{n}=**A**F_{n-1}+**B**F_{n-2}.

Find an expression for the limiting ratio of consecutive terms (in terms of A and B.)

Find formulas for A and B to make the limiting ratio any whole number N.