# How do you write a rule for the nth term of the geometric sequence, then find a6 given 2, 4/3, 8/9, 16/27,...?

##### 1 Answer

May 31, 2016

#### Answer:

#### Explanation:

The first term is given as 2, so

The common ration,

Check:

Now, knowing the values for

Simplifying gives:

In the same way we can find

But we have already found the general form, so let's use that for