Recognizing Geometric Sequences

In a geometric sequence, we multiply an element, by a factor $r$ to get the next element. From the terms of the sequence, we see that the first number is $2,$ the second is $2\cdot 3,$ and the third is $2\cdot 3^2.$ The factor to multiply by then is $3.$ Thus, in order to get the next number, we multiply $2\cdot 3^2$ by $3.$ $$2\cdot 3^2\cdot 3=2\cdot 3^3.$$