Answer
(i) The sequence is geometric.
(ii) The next two terms are: $\frac{3}{16}$ and $\frac{3}{32}$.
Work Step by Step
A sequence is:
(a) arithmetic if there is a common difference among the terms.
(b) geometric if there is a common ratio among the terms.
Notice that in the given sequence:
$\frac{3}{2} \div 3 = \frac{1}{2}
\\\\\frac{3}{4} \div \frac{3}{2} = \frac{1}{2}$
This means that the sequence has a common ratio of $\frac{1}{2}$.
Thus, the sequence is $\underline{\text{geometric}}$.
The next two terms can be found by multiplying $\frac{1}{2}$ to the previous term.
Therefore, the next two terms are:
$\frac{3}{8} \times \frac{1}{2} = \frac{3}{16}
\\\frac{3}{16} \times \frac{1}{2}=\frac{3}{32}$
