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][tex]$n+2$[/tex][/tex]
C. [tex]$2n+1$[/tex]
D. [tex]$2n+2$[/tex]



Answer :

To determine which expression accurately represents the sum of two consecutive odd integers given that [tex]\( n \)[/tex] is the smaller of the two, follow these steps:

1. Identify the consecutive odd integers:
- Since [tex]\( n \)[/tex] is the least (smaller) integer, the next consecutive odd integer would be [tex]\( n + 2 \)[/tex].

2. Write the sum of these consecutive odd integers:
- The sum is: [tex]\( n + (n + 2) \)[/tex].

3. Simplify the expression:
- Combine like terms: [tex]\( n + n + 2 = 2n + 2 \)[/tex].

So, the expression that represents the sum of two consecutive odd integers, where [tex]\( n \)[/tex] is the least integer, is [tex]\( 2n + 2 \)[/tex].

Therefore, the correct representation is:
[tex]\[ \boxed{2n + 2} \][/tex]