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Is -2, 6, -18, 48 a geometric sequence? ​

Sagot :

Answer and step-by-step explanation:

To identify if the given sequence is geometric or not, let's find the common ratio by dividing each term by the previous term.

-2, 6, -18, 48

6 ÷ (-2) = -3

-18 ÷ 6 = -3

48 ÷ (-18) = -8/3

*Observe that one of the answer is different from the others. There is no common ratio if they do not have the same answers or quotients.

*A geometric sequence must have a common ratio.

Therefore, the given sequence is not a geometric sequence.