Answer: (a) The next term in the sequence 0, 4, 8, 12, 16 is 20. The pattern in this sequence is an arithmetic progression where each term increases by 4.
(b) The rule for continuing the sequence 38, 44, 3n + 3, 41, 35, 32 is 26. It seems that the sequence alternates between two different patterns. The terms 38, 3n + 3, 35, and 32 form a decreasing arithmetic sequence where each term decreases by 3. The terms 44 and 41 seem to be out of the pattern, possibly representing an anomaly or different rule. Without more information, it is difficult to determine a specific pattern for these terms.
Explanation: