Answer:Here are the patterns and the next two ratios for each sequence:A. 5/2, 6/8: The numerators increase by 1, and the denominators double and then increase by 6. Next ratios: 7/14, 8/20.B. 5/8, 6/9: Both numerators and denominators increase by 1. Next ratios: 7/10, 8/11.C. 5/10, 6/12: The numerators increase by 1, and the denominators increase by 2. Next ratios: 7/14, 8/16.D. 5/9, 6/12: The numerators increase by 1, and the denominators increase by 3. Next ratios: 7/15, 8/18.