Answer
This sequence is neither arithmetic or geometric.
Work Step by Step
To find out if this is an arithmetic sequence, see if there is a common difference between terms:
$4 - 1 = 3$
$9 - 4 = 5$
$16 - 9 = 7$
There is no common difference; therefore, this is not an arithmetic sequence.
To find if this is a geometric sequence, see if there is a common ratio:
$\frac{4}{1} = 4$
$\frac{9}{4} = 2.25$
$\frac{16}{9} \approx 1.78$
There is no common ratio; therefore, this is not a geometric sequence.
This sequence is neither arithmetic or geometric.
