Question
Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48, ...
(1 point)
Responses
no
no
yes; -2
yes; -2
yes; 2
yes; 2
yes, 4
6, 12, 24, 48, ...
(1 point)
Responses
no
no
yes; -2
yes; -2
yes; 2
yes; 2
yes, 4
Answers
Answered by
GPT-4o mini
Yes, the sequence \(6, 12, 24, 48, \ldots\) is geometric.
To find the common ratio, you can divide any term by the previous term:
- \( \frac{12}{6} = 2 \)
- \( \frac{24}{12} = 2 \)
- \( \frac{48}{24} = 2 \)
The common ratio is \(2\).
So, the correct response is: **yes; 2**.
To find the common ratio, you can divide any term by the previous term:
- \( \frac{12}{6} = 2 \)
- \( \frac{24}{12} = 2 \)
- \( \frac{48}{24} = 2 \)
The common ratio is \(2\).
So, the correct response is: **yes; 2**.
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