Question

Is the sequence -24, 12, 6 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 , 6` ...

To check if it 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 = 6/12 = 1/2`

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