Question

How do I find the formula for the sequence: 3, 6, 18, 72, 360, ...

Answer 1

2x3=6   3x6=18    4x18=72    5x72=360  and so on and so on.......

Answer 2

$a_2=2\cdot a_1\\ a_3=3\cdot a_2=3\cdot 2\cdot a_1\\ a_4=4\cdot a_3=4\cdot3\cdot 2\cdot a_1\\ a_5=5\cdot a_4=5\cdot 4\cdot3\cdot 2\cdot a_1\\ \\ a_n=n\cdot (n-1)\cdot (n-2)\cdot (n-3)\cdot\ ...\ \cdot3\cdot2\cdot a_1=n!\cdot a_1\\ \\ a_n=3\cdot n!$