To determine the type of sequence represented by the minutes Tina used in her cell phone plan, we can list the values she used for each month: 6 minutes in June, 30 minutes in July, 150 minutes in August, and 750 minutes in September.
Let’s write these values out:
- June: 6
- July: 30
- August: 150
- September: 750
Now, let's analyze the ratios between consecutive terms to check if it forms a geometric progression:
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From June to July: \[ \frac{30}{6} = 5 \]
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From July to August: \[ \frac{150}{30} = 5 \]
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From August to September: \[ \frac{750}{150} = 5 \]
Since the ratio between each pair of consecutive terms is constant \( (5) \), this indicates that the sequence is a geometric sequence with a common ratio of 5.
Therefore, the type of sequence that Tina's cell phone minute usage follows is a geometric sequence.
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