Answer
(i) The sequence is geometric.
(ii) The next two terms are: 405 and 1,215.
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, the next term is three times larger than the previous term.
This means that the sequence has a common ratio of 3.
Thus, the sequence is $\underline{\text{geometric}}$.
The next two terms can be found by multiplying 3 to the previous term.
Therefore, the next two terms are:
$135(3) = 405
\\405(3)=1215$
