To solve this problem, we first identify the two consecutive odd integers.
Since [tex]\( n \)[/tex] is the least of these two consecutive odd integers, the next consecutive odd integer would be [tex]\( n + 2 \)[/tex].
Next, we find the sum of these two integers:
[tex]\[
n + (n + 2)
\][/tex]
Now, we simplify the expression:
[tex]\[
n + n + 2 = 2n + 2
\][/tex]
Hence, the sum of the two consecutive odd integers is represented by [tex]\( 2n + 2 \)[/tex].
From the given choices:
1. [tex]\( n + 1 \)[/tex]
2. [tex]\( n + 2 \)[/tex]
3. [tex]\( 2n + 1 \)[/tex]
4. [tex]\( 2n + 2 \)[/tex]
We see that the correct representation of the sum of the two consecutive odd integers is [tex]\( 2n + 2 \)[/tex].
Thus, the correct choice is:
[tex]\[
\boxed{4}
\][/tex]