Question

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

Answer 1

r-value=4.

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}}=(-(3)/(2))/(-(3)/(8))=4\text{ =r} \\ \frac{\text{third term}}{\text{second term}}=(-6)/(-(3)/(2))=4 \end{gathered}`

Therefore, the r value=4.