12 × 2 = 24
24 × 3 = 72
72 × 4 = 288
The first term is 12.
To find the 2nd term, you need to multiply 12 by 2 and get 24.
To find the 3rd term, you need to multiply 24 by 3 and get 72.
To find the 4th term, you need to multiply 72 by 4 and get 288.
So, to get the nth term, you need to multiply the previous (n-1)th term by n.
The next terms are:
288 × 5 = 1440
1440 × 6 = 8640
8640 × 7 = 60480
and so on...
The pattern is 12, 24, 72, 288, 1440, 8640, 60480, ...