AHSME 1952 Problem 12

The sum to infinity of the terms of an infinite geometric progression is $6$. The sum of the first two terms is $4\frac{1}{2}$. The first term of the progression is: $\textbf{(A) \ }3 \text{ or } 1\frac{1}{2} \textbf{(B) \ }1 \textbf{(C) \ }2\frac{1}{2} \textbf{(D) \ }6 \textbf{(E) \ }9\text{ or }3$