If $1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, ...$ is a sequence, what type of sequence is it?
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Question

If $1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, ...$ is a sequence, what type of sequence is it?

Accepted Answer

Let's check the ratio of consecutive terms: $\frac{1/3}{1} = \frac{1}{3}$, $\frac{1/9}{1/3} = \frac{1}{3}$, $\frac{1/27}{1/9} = \frac{1}{3}$. Since the common ratio is constant ($r = \frac{1}{3}$), it is a Geometric Progression. Therefore, the correct option is B.

Sequences and Series

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