Identify next three numbers in this sequence: 2, 8, 4, 16, 12

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different () between each consecutive value ().

How you can see when the position of the number in the sequence is odd you have to sum a number and when the position of the number in the sequence is a even number you have to substract -4.

Why ? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

Where is the number of before, the odd position of the number in the sequence and is the current value of

So the rest of the sequence is of the next form:

So the final answer is

-4

step-by-step explanation: