# How do you find the 7th term in the geometric sequence 2, 6, 18, 54, ...?

##### 1 Answer

Nov 10, 2015

#### Explanation:

In a geometric sequence, you choose a first term

#a_0 = a# #a_1 = a*r# #a_2 = (a*r)r = a*r^2# #a_3 = (a*r^2)r = a*r^3#

and so on. We can see that the relation is

In your case, the first term

So, the seventh term will be