What is the common ratio of the geometric sequence $81, 27, 9, 3, . . .$ ?

\frac{1}{2}

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\frac{1}{3}

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\frac{1}{4}

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\frac{1}{5}

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Solution

The correct option is B $\frac{1}{3}$
Given GP is $81, 27, 9, 3, . . . .$
Common ratio $=$ $\frac{second number}{first number}$
$=$ $\frac{27}{81} = \frac{1}{3}$
So, the common ratio is $\frac{1}{3}$ .

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