When expressed as a repeating decimal, the fraction $\frac{1}{7}$ is written as 0.142857142857 . . (The 6 digits 142857 continue to repeat.) The digit in the third position to the right of the decimal point is 2 . In which one of the following positions to the right of the decimal point will there also be a 2 ?
(A) $119^{t h}$
(B) $121^{s t}$
(C) $123^{r d}$
(D) $125^{\text {th }}$
(E) $126^{\text {th }}$
Since the number of digits that repeat is 6 , then the digits 142857 begin to repeat again after 120 digits (since $120=6 \times 20$ ).

That is, the $121^{\text {st }}$ digit is a 1 , the $122^{\text {nd }}$ digit is a 4 , and the $123^{\text {rd }}$ digit is a 2 .

ANswer: (C)