Find the next term in the sequence

Question

Given the sequence:

2, 6, 30, 210, 2310

 

Find the next term of the sequence.

 

Thank you :)

Answer 1

You can see that the multiplier pattern here is:

 

2 x 3 = 6

 

6 x 5 = 30

 

30 x 7 = 210

 

210 x 11 = 2310

 

So the multipliers (the 2nd number in each line above) are 3, 5, 7, 11, which are the prime numbers listed in order.  The next prime number is 13, so the next number would be 2310 x 13 = 30,330