Question

What is the common ratio for the geometric sequence? 4 3 ,4,12,36,...
hurry

Answer 1

3

Explanation:

Given the geometric sequence

`(4)/(3),\ 4,\ 12,\ 36,\ ...`

In this sequence,

`b_1=(4)/(3)\\ \\b_2=4\\ \\b_3=12\\ \\b_4=36\\ \\...`

The common ratio r is equal to

`r=(b_2)/(b_1)\\ \\r=(b_3)/(b_2)\\ \\r=(b_4)/(b_3)\\ \\...`

Since

`(b_2)/(b_1)=(4)/((4)/(3))=3\\ \\(b_3)/(b_2)=(12)/(4)=3\\ \\(b_4)/(b_3)=(36)/(12)=3\\ \\...`

you have that the common ratio is r = 3.