Answer
(i) The sequence is geometric.
(ii) The next two terms are: $9\sqrt3$ and $27$.
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:
$3 \div \sqrt3 = \sqrt3
\\3\sqrt3 \div 3 = \sqrt3$
This means that the sequence has a common ratio of $\sqrt3$.
Thus, the sequence is $\underline{\text{geometric}}$.
The next two terms can be found by multiplying $\sqrt3$ to the previous term.
Therefore, the next two terms are:
$9 \times \sqrt3 = 9\sqrt3
\\9\sqrt3 \times \sqrt3 = 9(3) = 27$
