To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, we can look at the differences between consecutive terms:
- From 23 to 19.5, the difference is \(23 - 19.5 = 3.5\).
- From 19.5 to 16, the difference is \(19.5 - 16 = 3.5\).
- From 16 to 12.5, the difference is \(16 - 12.5 = 3.5\).
We can see that the difference between each consecutive term is consistently \(3.5\). Thus, we can determine that the rule for generating the next term is to subtract \(3.5\) from the most recent term.
So, to find the next term after 12.5: \[ 12.5 - 3.5 = 9 \]
Therefore, the next term in the sequence would be \(9\).
The rule to generate the next term can be stated as: Subtract \(3.5\) from the previous term.
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