Answer
The sequence is neither geometric nor arithmetic.
Work Step by Step
The given sequence is
$-1,4,-7,10,...$
Calculate ratio between each pair of consecutive terms.
$\frac{4}{-1}=-4$
$\frac{-7}{4}=-\frac{7}{4}$
$\frac{10}{-7}=-\frac{10}{7}$
There is no common ratio.
So, the sequence is not geometric.
Calculate difference between each pair of consecutive terms.
$4-(-1)=4+1=5$
$-7-4=-11$
$10-(-7)=10+7=17$
There is no common difference.
So, the sequence is not arithmetic.
The sequence is neither geometric nor arithmetic.
