The next three terms of the sequence are 84.375, 63.28, 47.46
In order to determine the next three terms, the relationship between the numbers have to be determined.
When examined, it can be seen that the next number is 75% of the previous number
150 / 200 = 75%
112.50 / 150 = 75%
The next number would be 75% of 112.50 = 112.50 x 0.75 = 84.375
The second number would be 75% of 84.375 = 0.75 x 84.375 = 63.28
The third number would be 75% of 63.28 = 0.75 x 63.28 = 47.46
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