# What is the first consecutive even integer that follows –6?

May 15, 2016

$- 4$

#### Explanation:

Consecutive means "following closely".

So why $- 4$ and not $- 8$?

Even integers are listed in increasing order, so they form a sequence with no first element and no last element. The even integers near zero look like this:

$. . . , - 10 , - 8 , - 6 , - 4 , - 2 , 0 , 2 , 4 , 6 , 8 , 10 , \ldots$

So the even integer which follows closely after $- 6$ is $- 4$.