1. **State the problem:** Determine if the sequence $2, 12, 72, 432, \ldots$ is geometric and if so, find the common ratio. 2. **Recall the definition:** A sequence is geometric if the ratio between consecutive terms is constant. This ratio is called the common ratio $r$. 3. **Calculate the ratios:** $$r_1 = \frac{12}{2} = 6$$ $$r_2 = \frac{72}{12} = 6$$ $$r_3 = \frac{432}{72} = 6$$ 4. Since all ratios are equal ($r_1 = r_2 = r_3 = 6$), the sequence is geometric. 5. **Answer:** The common ratio is $6$.