Question 98
The sequence of Fibonacci numbers $F_{1}, F_{2}, \ldots, F_{n}, \ldots$ is such that $F_{1}=F_{2}=1$ and the $n$-th term ($n \geq 3$) is the sum of the two preceding ones (so the first terms of the sequence are $F_{1}=1, F_{2}=1, F_{3}=2=1+1, F_{4}=3=2+1, F_{5}=5=3+2$). How many Fibonacci numbers have exactly 2016 digits in their decimal representation?
(A) At least 2 and at most 3
(B) At least 4 and at most 5
(C) At least 6 and at most 7
(D) At least 8 and at most 9
(E) 10 or more
(A) At least 2 and at most 3
(B) At least 4 and at most 5
(C) At least 6 and at most 7
(D) At least 8 and at most 9
(E) 10 or more