Question

whats the geometric sequence of the 10th term?

Answer 1

2,6,18,54,162
to get from 2 ----> 6 you multiply by 3
to get from 6 ----> 18 you multiply by 3

So to find the 10th term just keep multiplying by 3 which will get you to 39366

Now if this is A-level maths and you need the proper working here it is ...

a=2 (first term)
r=3 (factor)
n=10 (because we are looking for the 10th term)

Now from the formula booklet that you are given
u(base n) = ar^(n-1)

therefore

u(10) = 2 x 3^(10-1)
u(10) = 2 x 19683
u(10) = 39366 Q.E.D

Hope this helps :D