Answer
(i) The sequence is arithmetic.
(ii) The next two terms are: $2$ and $\frac{7}{3}$.
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 $\frac{1}{3}$.
This means that the sequence has a common difference of $\frac{1}{3}$.
Thus, the sequence is $\underline{\text{arithmetic}}$.
The next two terms can be found by adding $\frac{1}{3}$ to the previous term.
Therefore, the next two terms are:
$\frac{5}{3} + \frac{1}{3} =\frac{6}{3}=2
\\2 + \frac{1}{3} = \frac{7}{3}$
