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There are no four consecutive integers whose sum equal four. For example:

1 + 2 + 3 + 4 = 10

0 + 1 + 2 + 3 = 6

-1 + 0 + 1 + 2 = 2

-2 + -1 + 0 + 1 = -2

...

and so on.

On the other hand, if you want to use a very loose definition of consecutive, there are four non-integer values that are each one apart and whose sum equals 4. You can calculate them like this:

x + (x + 1) + (x + 2) + (x + 3) = 4

∴ 4x + 6 = 4

∴ 4x = -2

∴ x = -0.5

so the numbers would be:

-0.5, 0.5, 1.5, 2.5

Q: What are four consecutive numbers that add up to 4?

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