The first 9 odd integers are 1, 3, 5, 7, 9, 11, 13, 15, and 17. These numbers represent the initial sequence of positive integers that are not divisible by 2.
Understanding Odd Integers
An odd integer is any integer that cannot be divided exactly by 2. When an odd number is divided by 2, it always leaves a remainder of 1. Odd integers are typically represented in the form $2n + 1$, where 'n' is any integer.
As stated by Cuemath, the list of odd numbers starts from 1 and continues in increments of 2. For instance, the list of odd numbers from 1 to 100 begins: "1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99." You can find more information about odd numbers on the Cuemath website.
The First 9 Odd Integers
To identify the first 9 odd integers, we simply take the initial 9 numbers from the sequence of odd numbers. Starting with 1, each subsequent odd number is obtained by adding 2 to the previous one.
Here is the list of the first 9 odd integers:
- 1
- 3
- 5
- 7
- 9
- 11
- 13
- 15
- 17
Sequential Representation
For clarity, the first 9 odd integers can also be displayed in a table, showing their position in the sequence:
| Position | Odd Integer |
|---|---|
| 1st | 1 |
| 2nd | 3 |
| 3rd | 5 |
| 4th | 7 |
| 5th | 9 |
| 6th | 11 |
| 7th | 13 |
| 8th | 15 |
| 9th | 17 |
How to Identify Odd Numbers
An easy way to determine if a whole number is odd is to check its last digit. If the last digit is 1, 3, 5, 7, or 9, the number is an odd integer. Conversely, if the last digit is 0, 2, 4, 6, or 8, the number is even.
