Enter the missing number: 200, 188, 152, 80, 8, ?

It appears the next number would be 8. To find this, first divide all the numbers by four so that they are smaller and easier to work with, this leaves us with 50, 47, 38, 20, and 2. Next we would look at the differences which appear to be 3, 9, 18, then 18 again. Again, time to break the numbers down so they are easier to work with, this time by 3 so our numbers are 1, 3, 6 and 6. Now the pattern becomes more apparent. We would multiply the first value by three to get the second value, the second value would be multiplied by two to get the third one an the third value would be multiplied by one to get it, and the fourth value would be multiplied by zero. Using this method, the next number in the pattern would be 8.

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Step-by-step explanation: