#### Answer

The sequence is neither geometric nor arithmetic.

#### Work Step by Step

In order to determine if the sequence is geometric, we see if the quotient of all consecutive terms is constant.
Here, we have:
$\dfrac{a_{2}}{a_1}=\dfrac{9}{8}$ and $\dfrac{a_{3}}{a_2}=\dfrac{16}{15}$
This shows that the quotient of all consecutive terms is not constant. Thus, it is not a geometric sequence.
In order to determine if the sequence is arithmetic, we see if the difference of all consecutive terms is constant.
Here, we have:
$a_2-a_1=\dfrac{1}{12}$ and $a_3-a_2=\dfrac{1}{20}$
This shows that the difference of all consecutive terms is not constant. Thus, it is not an arithmetic sequence.
Hence, the sequence is neither geometric nor arithmetic.