The series follows a pattern of multiplying by an increasing integer and then adding an increasing integer: (2 x 2) + 2 = 6, then (6 x 3) + 3 = 21. To find the missing term, apply the next step: (21 x 4) + 4 = 88. This is verified by the next term, since (88 x 5) + 5 = 445, making 88 the missing term.