Answer
The sequence is neither geometric nor arithmetic.
Work Step by Step
The given sequence is
$2,6,10,16,...$
Calculate ratio between each pair of consecutive terms.
$\frac{6}{2}=3$
$\frac{10}{6}=\frac{5}{3}$
$\frac{16}{10}=\frac{8}{5}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$6-2=4$
$10-6=4$
$16-10=6$
There is no common difference.
So, the sequence is not arithmetic.
