Question

Somebody help me with this please!!

Answer 1

Notice the following pattern:

2 - 0 = 2

6 - 2  = 4

12 - 6 = 6

20 - 12 = 8

It's reasonable to assume that consecutive terms in the sequence differ by increasing multiples of 2, so that for the next number (call it x) we expect to see

x - 20 = 10  ==>  x = 30

and for the number after that (call it y) we would see

y - x = y - 30 = 12  ==>  y = 42