Suppose W/3 is the even integer X. Then the numbers are (X-2, X , X+2)If W/3 is not an even integer then there is no solution.
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There are two consecutive even integers of negative 130: -66 and -64.
The sum of the first four non-negative, consecutive, even integers is 20.
The integers are -14, -12 and -10.
There is no set of three consecutive odd or even integers whose sum is negative 31.
The numbers are 116, 118 and 120.