A6. The first two terms of a geometric sequence are $a_{1}=\tan \frac{\pi}{6}$ and $a_{2}=\sin \frac{\pi}{3}$. What is the third term of this sequence?
(A) $\frac{3 \sqrt{3}}{4}$
(B) $\frac{\sqrt{6}}{4}$
(C) $\frac{\sqrt{3}}{2}$
(D) 1
(E) $\frac{2 \sqrt{3}}{4}$
A6. The first term of the sequence is $a_{1}=\frac{\sqrt{3}}{3}$, the second term $a_{2}=\frac{\sqrt{3}}{2}$, which means that $q=\frac{3}{2}$. Thus, $a_{3}=\frac{3 \sqrt{3}}{4}$.

## Set B