# How do you write a rule for the nth term of the geometric term given the two terms #a_3=25, a_6=-25/64#?

##### 1 Answer

Feb 24, 2018

#### Explanation:

The nth term of a geometric series is given by:

Where

We have:

Third term

Sixth term

Solving for

Substituting in

Multiply by

Factor out

We know

Factor out

As before:

Using this in

So we have: