1. **State the problem:** We are given the sequence 8, 24, 72, 216, __, __ and need to find the missing terms. Then, determine if the sequence is arithmetic (A), geometric (G), or neither (N). 2. **Check if the sequence is arithmetic:** An arithmetic sequence has a constant difference between terms. Calculate differences: $24 - 8 = 16$ $72 - 24 = 48$ $216 - 72 = 144$ Differences are not constant, so it is not arithmetic. 3. **Check if the sequence is geometric:** A geometric sequence has a constant ratio between terms. Calculate ratios: $\frac{24}{8} = 3$ $\frac{72}{24} = 3$ $\frac{216}{72} = 3$ Ratios are constant and equal to 3, so the sequence is geometric. 4. **Find the missing terms:** Multiply the last known term by the common ratio 3. Next term: $216 \times 3 = 648$ Next term: $648 \times 3 = 1944$ 5. **Final answer:** The missing terms are 648 and 1944. The sequence is geometric (G).