Answer:
a(8) = 6*3^7 = 13122
Explanation:
Each new term is equal to the previous one times the common ratio, r, which in this case is 3.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).
In this particular case, we have a(n) = 6*(3)^(n -1).
The 8th term of this sequence is a(8) = 6(3)^(8 - 1), which works out to:
a(8) = 6*3^7 = 13122