Respuesta :

Answer: [tex]n+2[/tex]


Step-by-step explanation:

1. By definition, an even number is that number that can be divided by two.

2. Therefore, keeping this definition on mind, if you have an even number [tex]n[/tex], the next consecutive even integer after it can be obtained by adding 2.

3. Then, you can conclude the expression that represents  the first consecutive even integer after [tex]n[/tex] is:

[tex]n+2[/tex]



Answer: n + 2

Step-by-step explanation: The first positive even integer on the number line is 2.

Subsequent numbers in the series are 4,6,8...

Now Even numbers are numbers that are divisible by 2 without remainders.

To find consecutive even integers, where n is even, the expression n+2 is employed.