Answer
(i) The sequence is arithmetic.
(ii) The next two terms are: $-42$ and $-54$.
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:
$-6-6 = -12
\\-18 - (-6) = -18 +6 = -12$
This means that the sequence has a common difference of $-12$.
Thus, the sequence is $\underline{\text{arithmetic}}$.
The next two terms can be found by adding $-12$ to the previous term.
Therefore, the next two terms are:
$-30 + (-12) = -42
\\-42 + (-12) = -54$
