To determine if the sequence $3, \_\_, 6, \_\_, 12, \_\_, 24$ is geometric, we need to check if there's a constant ratio between consecutive terms. Let's denote the missing terms as $x_1, x_2, x_3$.

Step-by-step approach:

A geometric sequence has the property that the ratio between consecutive terms is constant, i.e., $r = \frac{a_{n+1}}{a_n}$ where $r$ is the common ratio.

1. The ratio between the first and third term is: $r^2 = \frac{6}{3} = 2 \quad \Rightarrow \quad r = \sqrt{2} = 1.414$

2. The ratio between the third and fifth term: $r^2 = \frac{12}{6} = 2 \quad \Rightarrow \quad r = \sqrt{2} = 1.414$

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