In this series, the first term is multiplied by 2 (3 * 2 = 6), then 2 is added (6 + 2 = 8), then it is multiplied by 2 (8 * 2 = 16), and then 3 is added (16 + 3 = 19). Continuing this pattern, 19 is multiplied by 2 (19 * 2 = 38).
Thus, the next term is "38".