# What are the next three terms in the sequence #12, 4, 3/4# ?

##### 1 Answer

Mar 24, 2016

This looks like a geometric sequence with common ratio

If so, then the next

#### Explanation:

With only three terms, about the only pattern which makes sense is if the third term should be

If this is so, then this is a geometric sequence with initial term

The terms of a geometric sequence are given by the formula:

#a_n = a r^(n-1)#

where

In our case,

#a_n = 12 (1/3)^(n-1)#

So the sequence starts:

#12, 4, 4/3, 4/9, 4/27, 4/81,...#