# Is the sequence 24, 12, 6 a geometric sequence?

Jul 2, 2015

Since ${r}_{1} = {r}_{2}$ the sequence is geometric.

#### Explanation:

In a geometric sequence, a constant common ratio $r$ is maintained all through out the sequence.

The common ratio $r$ is obtained by dividing a term by its preceding term.

The sequence is: $24 , 12 , 6$

1) ${r}_{1} = \frac{12}{24} = \frac{1}{2}$

2) ${r}_{2} = \frac{6}{12} = \frac{1}{2}$

Since ${r}_{1} = {r}_{2}$ the sequence is geometric.