SOLUTION: The sum of five consecutive integers is 0. Find the integers.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The sum of five consecutive integers is 0. Find the integers.      Log On


   

Question 1002085: The sum of five consecutive integers is 0. Find the integers.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Answer. -2, -1, 0, 1, 2.

Solution

Let x be the middle term of this sequence of 5 terms.

Then the sequence is x-2, x-1, x, x+1, x+2.

The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.

Thus 5x = 0.

It gives x = 0.

So the sequence is  -2, -1, 0, 1, 2.