Question

What is the form in which every odd integer can be written taking as variable

Answer 1

Integer: A negative or positive whole number, e.g. -5, -3, -1, 1, 3, 5, 7, 9, etc.
Odd number: A negative or positive number which is not exactly divisible by 2, e.g. -5, -3, -1, 1, 3, 5, 7, 9, etc.
Let n represents the first odd integer, then the next odd integer is n + 2 (since the difference between two consecutive odd integers, is 2).
The form is:
n, n + 2, n + 4, n + 6, n + 8,..