Answer
(i) The sequence is arithmetic.
(ii) The next two terms are: $\frac{5}{2}$ and $3$.
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 the given sequence has terms that increase by $\frac{1}{2}$.
This means that the sequence has a common difference of $\frac{1}{2}$.
Thus, the sequence is $\underline{\text{arithmetic}}$.
The next two terms can be found by adding $\frac{1}{2}$ to the previous term.
Therefore, the next two terms are:
$2 + \frac{1}{2} =\frac{5}{2}
\\\frac{5}{2} + \frac{1}{2} = 3$
