Answer:
n^2 + 3
n^2 - 2
3n^2.
Explanation:
(a)
n = 1 2 3 4 5
terms = 4 7 12 19 28
n^2 = 1 4 9 16 25
Subtract: 3 3 3 3 3
So the nth term is n^2 + 3
(b)
n = 1 2 3 4 5
terms = -1 2 7 14 23
n^2 = 1 4 9 16 25
n^2 - term = 2 2 2 2 2
So it is n^2 - 2
(c)
n = 1 2 3 4 5
terms 3 12 27 48 75
n^2 = 1 4 9 16 25
each term = 3 * n^2