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

Answer:

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.

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