what is the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768, ... -0.8 -0.3 0.3…

Explanation:

Step1: Recall common - ratio formula

The common ratio $r$ of a geometric sequence is given by $r=\frac{a_{n + 1}}{a_{n}}$, where $a_{n+1}$ is the $(n + 1)$ - th term and $a_{n}$ is the $n$ - th term.

Step2: Calculate the common ratio

Let $a_{1}=1.5$ and $a_{2}=1.2$. Then $r=\frac{a_{2}}{a_{1}}=\frac{1.2}{1.5}=\frac{12}{15}=0.8$. We can double - check with another pair. Let $a_{2}=1.2$ and $a_{3}=0.96$. Then $r=\frac{a_{3}}{a_{2}}=\frac{0.96}{1.2}=\frac{96}{120}=0.8$.

Answer:

D. 0.8