1. **State the problem:** We have three sequences and need to order them by their common ratios from least to greatest. 2. **Recall the formula for the common ratio in a geometric sequence:** $$r = \frac{a_{n+1}}{a_n}$$ where $r$ is the common ratio and $a_n$ is the $n$th term. 3. **Calculate the common ratio for each sequence:** - Sequence A: $r_A = \frac{40}{160} = \frac{1}{4} = 0.25$ - Sequence B: $r_B = \frac{63}{-21} = -3$ - Sequence C: $r_C = \frac{12}{8} = \frac{3}{2} = 1.5$ 4. **Order the ratios from least to greatest:** $$-3 < 0.25 < 1.5$$ 5. **Match sequences to this order:** Sequence B (common ratio $-3$), Sequence A (common ratio $0.25$), Sequence C (common ratio $1.5$). **Final answer:** Sequence B, Sequence A, Sequence C