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Somebody help me with this please!!

Somebody help me with this please!!-example-1

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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

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