Consider the following instruction involving leamers of Seiphi Sec offering each other hugs to congratulate one another for obtaining 100% pass in 2023/11 NSC Mathematics examination: each learner offers a hug to every learner in the room only once. a) What is the maximum number of hugs between the following number of learners. (3) Number of 2 3 4 5 6 ☐ Number of b) Is there a pattern between the number of learners and the number of hugs offered? If yes, identify the pattern (2) Given that n is the number of learners in the room, determine the nth term for the total number of hugs: ​