Question

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

Answer 1

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 = (-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.