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

Calculate differences between consecutive terms. $-4.8 - 2.4=-7.2$, $9.6-(-4.8) = 14.4$. Since differences aren't the same, it's not an arithmetic - sequence.

Step2: Check for common ratio

Calculate ratios of 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.