AMC 12A 2002 Problem 21

Consider the sequence of numbers: 4,7,1,8,9,7,6, \ldots For n>2, the $n$th term of the sequence is the units digit of the sum of the two previous terms. Let S_{n} denote the sum of the first n terms of this sequence. The smallest value of n for which S_{n}>10,000 is:

Answer Choices
A. 1992
B. 1999
C. 2001
D. 2002
E. 2004