which best describes the relationship between the successive terms in the sequence shown? 2.4, -4.8, 9.6…

Explanation:

Step1: Check for common difference

To check for a common difference, subtract consecutive terms. $-4.8 - 2.4=-7.2$, $9.6-(-4.8)=14.4$. Since the differences are not the same, there is no common difference.

Step2: Check for common ratio

To check for a common ratio, divide consecutive terms. $\frac{-4.8}{2.4}=- 2$, $\frac{9.6}{-4.8}=-2$, $\frac{-19.2}{9.6}=-2$. The common ratio is -2.

Answer:

The common ratio is -2.0.