Asked by Kennabug
is the sequence 2,3,5,8,12 geometric? please explain why
Answers
Answered by
Jai
No, it isn't. In a geometric sequence, there is a fixed number multiplied by a term to get the next term. This is an example of geometric sequence:
3, 6, 12, 24, 48, ...
Here, we can see that each term is multiplied by two to get the next term.
3*2 = 6 ; 6*2 = 12, and so on.
Thus the ratio of two consecutive terms must be equal:
6/3 = 12/6 ; 12/6 = 24/12
In the problem given above,
3/2 ≠ 5/3 ; 8/5 ≠ 12/8
Therefore, it's not a geometric sequence.
Hope this helps~ `u`
3, 6, 12, 24, 48, ...
Here, we can see that each term is multiplied by two to get the next term.
3*2 = 6 ; 6*2 = 12, and so on.
Thus the ratio of two consecutive terms must be equal:
6/3 = 12/6 ; 12/6 = 24/12
In the problem given above,
3/2 ≠ 5/3 ; 8/5 ≠ 12/8
Therefore, it's not a geometric sequence.
Hope this helps~ `u`
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.