Answer
The sequence is neither geometric nor arithmetic.
Work Step by Step
The given sequence is
$9,14,20,27,...$
Calculate ratio between each pair of consecutive terms.
$\frac{14}{9}=\frac{14}{9}$
$\frac{20}{14}=\frac{10}{7}$
$\frac{27}{20}=\frac{27}{20}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$14-9=5$
$20-14=6$
$27-20=7$
There is no common difference.
So, the sequence is not arithmetic.
The sequence is neither geometric nor arithmetic.
