AHSME 1974 Problem 21

In a geometric series of positive terms the difference between the fifth and fourth terms is $576$, and the difference between the second and first terms is $9$. What is the sum of the first five terms of this series? $\mathrm{(A)\ } 1061 \mathrm{(B) \ }1023 \mathrm{(C) \ } 1024 \mathrm{(D) \ } 768 \mathrm{(E) \ }\text{none of these}$