To solve for geometric sequences, use the formula an = a1r^(n - 1), where a1 = first term, n = position number of given term, r = common ratio, and an = value of term in given position.
For this problem, a1 = 2, n = 6, and r = 1/3. Now, plug those values into the equation and solve.
a6 = 2(1/3)^(6 - 1)
a6 = 2(1/3)^(5)
a6 = 2(0.00411522633)
a6 = 0.00823045267
I hope this answers your question.
