what is the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768, ...\n-0.8\n-0.3\n0…

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: Choose two consecutive terms

Let's take the first two terms $a_1 = 1.5$ and $a_2=1.2$. Then $r=\frac{a_{2}}{a_{1}}$.

Step3: Calculate the ratio

Substitute $a_1 = 1.5$ and $a_2 = 1.2$ into the formula: $r=\frac{1.2}{1.5}=\frac{12}{15}=0.8$.

Answer:

D. 0.8