Show that any positive odd integer is of the form `6q+1` or `6q+3` or `6q+5`, where `q` is some integer

Explanation

To show that any positive odd integer can be expressed in the form \(6q + 1\), \(6q + 3\), or \(6q + 5\) where \(q\) is some integer, we can follow these steps:

### Step 1: Understanding Odd Integers
An odd integer can be defined as any integer that is not divisible by 2. This means that when we divide an odd integer by 2, the remainder is 1.

### Step 2: Division by 6
Any integer \(n\) can be expressed in the form:
\[
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