Question

If x + 1 is an integer. What is the next consecutive integer?

Answer 1

Answer:

the next consecutive integer is x+2 and so on...

Answer 2

Answer:

Odd numbers can be found by adding or subtracting by 2 of the original. That means that if x is an odd number, x-2 is an odd number as well as x+2.

In your case, if x is the first integer of three, then x must be odd if there exists three consecutive odd integers for this sum.

So, the sum of three consecutive odd integers would be written as:

x + (x + 2) + (x + 4) = 3x + 2 + 4 = 3x + 6

If you would like to simplify this equation, it can also be written as 3(x + 2).