The sequence provided is 2, 6, 12, 20. The differences between consecutive terms are calculated as follows: \[ 6 - 2 = 4, \quad 12 - 6 = 6, \quad 20 - 12 = 8 \]. The observed pattern shows an increase of 2 in these differences with each step. Therefore, the next difference is projected to be 10. Consequently, the subsequent term in the sequence is determined by adding this next difference to the last term: \[ 20 + 10 = 30 \]. The resulting correct value is 30.