Answer
(i) The sequence is arithmetic.
(ii) The next two terms are: $-49$ and $-63$.
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:
$-7 - 7 = -14
\\-21 - (-7) = -21 + 7 = -14$
This means that the sequence has a common difference of $-14$.
Thus, the sequence is $\underline{\text{arithmetic}}$.
The next two terms can be found by adding $-14$ to the previous term.
Therefore, the next two terms are:
$-35 + (-14) = -49
\\-49 + (-14) = -63$
