Question 9

Find the nth term formulae of the following sequences:

(a) \( 1, 4, 9, 16, 25, 36\) (b) \( 4, 7, 12, 19, 28, 29\) (c) \( 2, 8, 18, 32, 50, 72\)
(d) \( -1, 2, 7, 14, 23, 34\) (e) \( 3, 12, 27, 48, 75, 108\) (f) \( 5, 11, 21, 35, 53, 75\)
(g) \( 6, 20, 42, 72, 110, 156\) (h) \( 3, 3, 7, 15, 27, 43\) (i) \( 5, 16, 29, 44, 61, 80\)
(j) \( 6, 25, 54, 93, 142, 201\) (k) \( 2, 12, 30, 56, 90, 132 \) (l) \( 23, 46, 81, 128, 187, 258\)