Answer
Neither geometric nor arithmetic.
Work Step by Step
The given sequence is
$3,11,21,33,47,...$
Calculate ratio between each pair of consecutive terms.
$\frac{11}{3}$
$\frac{21}{11}$
$\frac{33}{21}=\frac{11}{7}$
$\frac{47}{33}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$11-3=8$
$21-11=10$
$33-21=12$
$47-33=14$
There is no common difference.
So, the sequence is not arithmetic.
The sequence is neither geometric nor arithmetic.
