Math Pattern: 1,2,6,24,120 Find pattern and what comes next?

Answer

Here it is :

Let A(n) denote the nth term.

1 x 1 = 1 = A (1)
1 x 2 = 2 = A(2)
2 x 3 = 6 = A(3)
6 x 4 = 24 = A(4)
24 x 5 = 120 = A(5)
.. so,
A(n -1) x n = A(n)

A(n) = n!

where n! is called “n factorial” and is “defined by
n! = n x (n – 1) x … 2 x 1

so, The “next term” is : 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720