2014-11-11T16:29:18+08:00
Okay integers are numbers that can be written without a fractional component. It can be positive or negative numbers.

decimals, numbers with exponents or numbers with roots(square root or cube root etc) are not integers.

While consecutive means continuously or successively.

What are the sum of three consecutive integers?

Let's try this:

1 + 2 + 3 = 6 -> this one is a positive even integer

another one

2 + 3 + 4 = 9 positive odd integer

another one

-1 + 0 + 1 = 0 -> an integer (though some mathematicians have some argument if they should consider zero(0) an integer or not)

another one

-3 + - 2 + -1 = -6 -> negative even integer

last one

-4 + -3 + -2 = -9 -> negative odd integer

Result that consist of (1, 2, 3, 4 ...) are natural numbers also called whole numbers while (-1, -2, -3, -4 ...) are their additive inverses and zero(0) is simply zero.

As you have noticed the result can be positive or negative and odd or even but they are all just integers.

I'm not sure if your question was incomplete but i hope it helps.