Solve the following problem and select your answer from the choices given.

If [tex] n [/tex] is the least of two consecutive odd integers, which of the following represents the sum of the two integers?

A. [tex] n + 1 [/tex]
B. [tex] n + 2 [/tex]
C. [tex] 2n + 1 [/tex]
D. [tex] 2n + 2 [/tex]



Answer :

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]