Question

The expression that represents the sum of three consecutive odd integers, after the expression is simplified, is

Answer 1

To represent the sum of three consecutive odd integers, we can define the first odd integer as \( n \) (where \( n \) is any odd integer). The next two consecutive odd integers can then be expressed as \( n + 2 \) and \( n + 4 \).

Adding these three integers together, we get:

\[
n + (n + 2) + (n + 4)
\]

Now, we simplify the expression step by step:

1. Combine the like terms:
\[
n + n + 2 + n + 4 = 3n + 6
\]

So, the expression that represents the sum of three consecutive odd integers, after simplification, is:

\[
3n + 6
\]