# How do you find the common ratio for the following geometric sequence 4, 12, 36, 108... ?

Dec 19, 2015

$3$

#### Explanation:

The common ratio is simply the number that each number is being multiplied by to find the next term.

For example, when the sequence goes $4 , 12$, $4$ is being multiplied by $3$.

When the sequence goes from $12$ to $36$, $12$ is being multiplied by $3$.

This is true for the entire sequence.

The term following $108$ will be $108 \times 3 = 324$.

The term proceeding $4$ will be $\frac{4}{3}$ since $\frac{4}{3} \times 3 = 4$.