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Question: what is the next number in the sequence of 16, 11, 8.5, 7.25, ??
The pattern seems to be decreasing by gradually smaller amounts each time. To calculate the difference between each value in the sequence: Between 16 and 11 there is a difference of -5. Between 11 and 8.5 there is a difference of -2.5. Between 8.5 and 7.25 there is a difference of -1.25. The difference itself appears to be halving each time. So, considering the pattern, the next difference should be -1.25/2 = -0.625. So, the next number in the sequence should be 7.25 - 0.625 = 6.625.
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