To find the common ratio in a geometric sequence, you divide any term by the preceding term.
Let's calculate the ratios between the first few terms of the given sequence:
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From the first term (2) to the second term (12): \[ \text{Common Ratio} = \frac{12}{2} = 6 \]
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From the second term (12) to the third term (18): \[ \text{Common Ratio} = \frac{18}{12} = 1.5 \]
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From the third term (18) to the fourth term (132): \[ \text{Common Ratio} = \frac{132}{18} \approx 7.33 \]
Since the ratios are different, this sequence is not a geometric sequence. Therefore, there is no single common ratio for this sequence.
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