Final answer:
Pattern (a) alternates between addition and subtraction of 6, with the next number being 28. Pattern (b) alternates between uppercase and lowercase alphabetically, with the next letter being 'f'.
Step-by-step explanation:
The student's question involves completing patterns and identifying the reasoning behind them. The first pattern (a) appears to be a sequence of alternating addition and subtraction with the number 6: starting with 10, adding 10, then subtracting 4, and so on. Therefore, following the pattern, the next number after 22 would be 22 + 6 = 28. The second pattern (b) alternates between uppercase and lowercase letters while following the sequential order of the alphabet. The last letter provided is 'E', which is uppercase, therefore the next letter in the sequence should be 'f' in lowercase.