The series follows the pattern: square then +1, then square then -1, alternating. 8²+1=65 (not 165), 9²-1=80, 10²+1=101, 11²-1=120, 12²+1=145. The series should be 65, 80, 101, 120, 145, 168. The term 165 breaks this alternating pattern - it should be 65 (8²+1).