# Is the sequence -24, -12, 0 a geometric sequence?

Aug 10, 2015

No, since there is no common ratio maintained across the sequence, the given sequence isn't geometric.

#### Explanation:

The sequence given is:
$- 24 , - 12 , 0$

To check if a sequence is a geometric sequence we calculate the common ratio $r$ (which is a constant ratio maintained throughout the sequence).

$r$ is obtained by dividing a term by its preceding term:

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

2) ${r}_{2} = \frac{0}{-} 12 = 0$

Clearly, $\frac{1}{2} \ne 0$

For this sequence the ratios ${r}_{1} \ne {r}_{2}$ so the sequence is not a geometric sequence.