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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.

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.

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Answer 2

Ariana Alvarez

Yes, the sequence -24, -12, 0 is a geometric sequence.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.