Analyze the following problem. Was a mistake made? If so, find the error and correct it. Then, explain why it was a mistake.PLEA
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Consecutive numbers differ by one, which means that if you start with a certain integer , you obtain the next integer by adding one.
So, if you start with , the three consecutive numbers are
The sum of these three numbers is
This number is divisible by 3 because you can write it as
Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.