# Math Help - Need Help with simple geometric sequence

1. ## Need Help with simple geometric sequence

In the sequence 2,6,18,..., which term is number 162?

162 = 2 x 3^(n -1)
is this how you start it?
then i get 81 = 3^(n-1)

how do i solve that without using a calculator?

2. simply try to find out:

3^1 = 3 < 81
3^2 = 9 < 81
3^3 = 27 < 81
etc.

3. Originally Posted by NeedHelp18
In the sequence 2,6,18,..., which term is number 162?

162 = 2 x 3^(n -1)
is this how you start it?
then i get 81 = 3^(n-1)

how do i solve that without using a calculator?
$t_5$