isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... what value should he…

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 $a_1 = 64$ and $a_2=112$. Then $r=\frac{a_{2}}{a_{1}}=\frac{112}{64}$.

Step3: Simplify the fraction

$\frac{112}{64}=\frac{112\div16}{64\div16}=\frac{7}{4}=1.75$.

Answer:

B. 1.75