# What is the 5th term in the following geometric sequence 2, -14, 98, -686?

##### 1 Answer

#### Explanation:

In a **geometric sequence**, each new term is the *product* of the previous term and a fixed multiplier **arithmetic sequence**, where each new term is the *sum* of the previous term and a fixed additive value

To find the multiplier

For example, if we take the ratio of the 2nd-to-1st terms, we get:

Then, since we know the 4th term is -686, all we need to do is multiply this by our ratio

## Bonus:

In general, a geometric sequence is written as

where

same as before.)