Geometric Sequence2, 6, 18, 54, ...Step 1: Identify the common ratior = [tex]\frac{6}{2}[/tex] = 3, [tex]\frac{18}{6}[/tex] = 3Step 2: General formulaWhere a1 = 2, r = 3.Step 3: Solve for the 6th term08 = 2-35 = 2 - 243 = 486Final AnswerThe geometric sequence is 2, 6, 18, 54,.. and the 6th term is 486.