which best describes the relationship between the successive terms in the sequence below? -3.2, 4.8, -7.2…

which best describes the relationship between the successive terms in the sequence below? -3.2, 4.8, -7.2, 10.8, ... the terms have a common difference of 8. the terms have a common difference of 1.6. the terms have a common ratio of -1.5. the terms have a common ratio of -0.67.

which best describes the relationship between the successive terms in the sequence below? -3.2, 4.8, -7.2, 10.8, ... the terms have a common difference of 8. the terms have a common difference of 1.6. the terms have a common ratio of -1.5. the terms have a common ratio of -0.67.

Answer

Explanation:

Step1: Check for common - difference

Calculate the differences between consecutive terms: $4.8-(-3.2)=4.8 + 3.2=8$, $-7.2 - 4.8=-12$. Since the differences are not the same, it is not an arithmetic sequence with a common difference.

Step2: Check for common - ratio

Calculate the ratios of consecutive terms. $\frac{4.8}{-3.2}=-1.5$, $\frac{-7.2}{4.8}=\frac{-72}{48}=-1.5$, $\frac{10.8}{-7.2}=\frac{108}{-72}=-1.5$. The ratio between consecutive terms is constant.

Answer:

The terms have a common ratio of -1.5.