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

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Answer 1 · 2015-08-10T06:31:25

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

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) $r_1 = (-12)/-24=1/2$

2) $r_2 = 0/-12 = 0$

Clearly, $1/2 != 0$

For this sequence the ratios $r_1 != r_2$ so the sequence is not a geometric sequence.