I've got a very tricky question on my hands. A set of integers are grouped as follows [tex] (1), (2,3,4), (5,6,7,8,9),..., [/tex] until the nth bracket. I have found the total integers in the first (n-1) brackets and it is [tex] (n-1)^2 [/tex]. The next part of the question is to show that the first number in the first term in the nth bracket is [tex] n^2-2n+2 [/tex]. What i did was to first write out the sequence representing the first term in each bracket, [tex] 1,2,5,10,17,...[/tex] but i can't seem to find any pattern with this sequence but have only seen that their difference is an arithmetic progression. How do I go about this question?