# The fifth term of a geometric sequence is 48 and the ninth term is 768. What is the first term?

##### 1 Answer

Nov 6, 2015

The first term is 3.

#### Explanation:

The general form of a geometric sequence with the first term

Note that the general form for the

Using that with our knowledge of the fifth and ninth terms, we have

We can now eliminate

We could solve for

Now that we have