To find the next three term in this sequence, we first need to know how we get to each number. In our sequence, we can see that each number is multiplying itself by 3 to get our next number. If 6 x 3 = 18 then 18 x 3 = 54 then 54 x 3 = 162 and 162 x 3 = 486.
Therefore, the next three terms are 54, 162, and 486.