Determine whether the sequence 9,−6,4,−8/3,... is geometric and if it is, what is the common ratio

Marilyn Cameron 2022-10-13 Answered
Determine whether the sequence 9 , - 6 , 4 , - 8 3 , ... is geometric and if it is, what is the common ratio
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Answers (1)

domwaheights0m
Answered 2022-10-14 Author has 11 answers
To find whether a given sequence is geometric sequence or not, we should divide each term by its preceding term to find ratio between them.
If we get the same ratio, it is a geometric sequence.
Here, we are given the sequence as { 9 , - 6 , 4 , - 8 3 , ... . } and
as - 6 9 = - 2 3
4 - 6 = - 2 3 and
- 8 3 4 = - 2 3
As ratio is same, it is a geometric sequence and common ratio is - 2 3 .
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