Answer
Neither geometric nor arithmetic.
Work Step by Step
The given sequence is
$4,5,9,14,23,...$
Calculate ratio between each pair of consecutive terms.
$\frac{5}{4}$
$\frac{9}{5}$
$\frac{14}{9}$
$\frac{23}{14}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$5-4=1$
$9-5=4$
$14-9=5$
$23-14=9$
There is no common difference.
So, the sequence is not arithmetic.
The sequence is neither geometric nor arithmetic.
