What is the $1992^\text{nd}$ letter in this sequence?
\[\text{ABCDEDCBAABCDEDCBAABCDEDCBAABCDEDC}\cdots\]
$\text{(A)}\ \text{A} \qquad \text{(B)}\ \text{B} \qquad \text{(C)}\ \text{C} \qquad \text{(D)}\ \text{D} \qquad \text{(E)}\ \text{E}$
The sequence consists of repeated strings of 9 letters, $\text{ABCDEDCBA}$. When 1992 is divided by 9, the remainder is 3, and so the 1992nd letter in the sequence is the 3rd letter of the smaller string, $\boxed{\text{(C)}\ \text{C}}$.