Question

If n represents an odd integer, what represents the next larger odd integer ____________?

A) n + 1
B) n - 1
C) n + 2
D) n - 2

Answer 1

The next larger odd integer after an odd integer n is represented by n + 2. Adding 1 would make n even, so we need to add 2 to remain with an odd number.

Step-by-step explanation:

If n represents an odd integer, the next larger odd integer can be found by adding 2 to n. This is because adding 1 to an odd number makes it even, so we need to add another 1 to get to the next odd number. Therefore, the next larger odd integer after n is n + 2.The next larger odd integer can be represented as n + 2. Option C, n + 2, is the correct answer.

When we add 2 to an odd integer, we get the next larger odd integer. For example, if n = 3, then n + 2 = 3 + 2 = 5, which is the next larger odd integer after 3.

Similarly, if n = 11, then n + 2 = 11 + 2 = 13, which is the next larger odd integer after 11.