Chapter 8 - Graphing Quadratic Functions - 8.5 - Using Intercept Form - Exercises - Page 458: 106

The sequence is geometric.

The given sequence is $-2,-6,-18,-54,...$ Calculate ratio between each pair of consecutive terms. $\frac{-6}{-2}=3$ $\frac{-18}{-6}=3$ $\frac{-54}{-18}=3$ The common ratio is $3$. So, the sequence is geometric.