Question

Find the common ratio. Write the answer in lowest terms. 8+12+18+27+...

Answer 1

`r=(3)/(2)`

Explanation:

Consider the sequance

`a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...`

Note that

`(a_2)/(a_1)=(12)/(8)=(3)/(2)\\ \\ \\(a_3)/(a_2)=(18)/(12)=(3)/(2)\\ \\ \\(a_4)/(a_3)=(27)/(18)=(3)/(2)\\ \\...`

So, common ratio is

`r=(3)/(2)=1(1)/(2)`