Question

What is the common ratio for the geometric sequence? 18,12,8,163,…

Answer 1

Answer:

$\frac{2}{3}$ is the common ratio.

Step-by-step explanation:

We have been given the geometric sequence

$18,12,8,\frac{16}{3}$

We need to find the common ratio:

$\text{common ratio}=\frac{a_2}{a_1}$

Common ratio is the the ratio which is same between the consecutive numbers

Between 18 and 12$a_2=12,a_1=18$ on substituting the values in the formula we get:

$\text{common ratio}=\frac{12}{18}=\frac{2}{3}$

Between 12 and 8$a_2=8,a_1=12$ on substituting the values in the formula we get:

$\text{common ratio}=\frac{8}{12}=\frac{2}{3}$

Hence, we will get $\frac{2}{3}$ as common ratio.

Answer 2

Hello! Sorry this is a little late, but hopefully it can help others who visit this question.

I believe the correct answer would be $\frac{2}{3}$ .

I can confirm this answer is 100% correct :)

I hope this helped, and have a great rest of your day!