Two consecutive odd integers.
2n + 1 and 2n + 3
Step 1: An odd integer can always be written in the form:
(;2k + 1;) where (k) is any integer.
Step 2: Let the first odd number be:
(;2n + 1;)
Step 3: “Consecutive odd” means the next odd number after it.
Odd numbers increase by (2). So add (2):
(;(2n + 1) + 2;=;2n + 3;)
Therefore: The two consecutive odd integers are:
(;2n + 1;) and (;2n + 3;)
Quick check (examples):
If (n = 0): first (= 2(0)+1 = 1), next (= 3) → (1, 3).
If (n = 5): first (= 2(5)+1 = 11), next (= 13) → (11, 13).