Question

what is the r value for this sequence im so confused???

Answer 1

Answer:

r-value=4.

Step-by-step explanation:

A geometric sequence has a common ratio, and is defined by the following expression:

$\begin{gathered} a_n=ar^{n-1} \\ \text{where,} \\ a_n=nth\text{ term of the sequence} \\ a=\text{first term of the sequence} \\ r=\text{common ratio} \end{gathered}$

Then, we have to find the common ratio (r value):

$\begin{gathered} \frac{\text{second term}}{\text{first term}}=\frac{-\frac{3}{2}}{-\frac{3}{8}}=4\text{ =r} \\ \frac{\text{third term}}{\text{second term}}=\frac{-6}{-\frac{3}{2}}=4 \end{gathered}$

Therefore, the r value=4.