Answer
The sequence is neither geometric nor arithmetic.
Work Step by Step
Prepare a table.
The given sequence is
$4,11,16,19,...$
Calculate ratio between each pair of consecutive terms.
$\frac{11}{4}=\frac{11}{4}$
$\frac{16}{11}=\frac{16}{11}$
$\frac{19}{16}=\frac{19}{16}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$11-4=7$
$16-11=5$
$19-16=3$
There is no common difference.
So, the sequence is not arithmetic.
The sequence is neither geometric nor arithmetic.
