The first ten odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, and 19.
To find the sum of these numbers, you can simply add them together:
- 1 + 3 = 4
- 4 + 5 = 9
- 9 + 7 = 16
- 16 + 9 = 25
- 25 + 11 = 36
- 36 + 13 = 49
- 49 + 15 = 64
- 64 + 17 = 81
- 81 + 19 = 100
So, the total sum of the first ten odd numbers is 100.
Alternatively, there’s a neat formula for finding the sum of the first n odd numbers, which states that the sum is equal to n² (n squared). Since we are looking for the sum of the first 10 odd numbers:
- n = 10
- Sum = n² = 10² = 100
This confirms that the sum of the first ten odd numbers is indeed 100.
This concept highlights how odd numbers behave in a pattern and can make calculations easier. Keep in mind that the series of odd numbers begins from 1 and continues indefinitely, and this property of their sums can be a handy trick to remember. Whether you’re using it for homework or just out of curiosity, it’s always fascinating to explore numerical patterns like these!