The term "conjugative odd numbers" is not a standard mathematical term. Based on the provided reference which describes "consecutive odd numbers," it is likely that the user meant to ask about consecutive odd numbers. Therefore, the question can be rephrased as: "What are consecutive odd numbers?"
Consecutive odd numbers are a sequence of odd numbers that follow each other in order, with a difference of 2 between each pair. The provided reference confirms that if n is an odd integer, then n + 2, n + 4, and so on, are consecutive odd integers.
Here's a breakdown of what this means:
- Odd Numbers: These are integers that cannot be divided evenly by 2, leaving a remainder of 1. Examples include -5, -3, -1, 1, 3, 5, 7, and so on.
- Consecutive: This means following one another in a sequence without any gaps.
- Difference of 2: The gap between any two consecutive odd numbers is always 2.
Examples of Consecutive Odd Numbers
| Sequence | Starting Point | Explanation |
|---|---|---|
| -11, -9, -7, -5, -3, -1 | -11 | Each number in this sequence is 2 greater than the previous number. |
| 1, 3, 5, 7, 9 | 1 | Each number is 2 greater than its predecessor. |
| 13, 15, 17, 19 | 13 | This sequence shows that the starting odd integer can be any odd integer. |
| -3, -1, 1, 3, 5 | -3 | Shows consecutive odd integers across both negative and positive number ranges. |
Key Characteristics
- The difference between two consecutive odd numbers is always 2.
- They can be both positive and negative.
- Consecutive odd numbers are created by starting with any odd integer n and adding 2 to get the next odd integer, resulting in n, n+2, n+4, etc.
In summary, while "conjugative odd numbers" is not standard terminology, it's likely that the intended question is about consecutive odd numbers, which are odd integers following each other in a sequence with a common difference of 2.
