2, 2, 4, 12, 48, ?

If N is the number which denotes the position of a number in the series, each term of the series can be given by
N th term = (N-1)th term $$\times$$ (N-1)
For the first term n=1
For the second term n=2
N-1 th term is 2. Hence Nth term is 2 $$\times$$ 1 =2
For the third term n=3
N-1 th term is 2.Hence Nth term is 2 $$\times$$ 2 =4
Similarly for the 6th term N=6
N-1 th term is 48.Hence Nth term is 48 $$\times$$ 5 =240
Option C is the correct answer.