The sum of four consecutive integers is -2. What are the 4 integers?

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Answer 1 · 2016-06-02T21:09:11

The four integers are:

#-2, -1, 0, 1#

Suppose the integers are #n, (n+1), (n+2), (n+3)#

Then we are given:

#-2 = n+(n+1)+(n+2)+(n+3) = 4n+6#

Subtract #6# from both ends and transpose to get:

#4n = -8#

Divide both sides by #4# to get:

#n = -2#

So the four integers are:

#-2, -1, 0, 1#