The sum of the first 10 odd natural numbers is 100.
Understanding Odd Natural Numbers
Odd natural numbers are positive integers that are not divisible by 2. The first few odd natural numbers are 1, 3, 5, 7, 9, and so on.
Calculating the Sum
We need to find the sum of the first 10 odd natural numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19.
Method 1: Direct Summation
We can simply add the numbers together:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100
Method 2: Using a Formula
The sum of the first n odd natural numbers is equal to n2. In this case, n = 10.
Therefore, the sum is 102 = 10 * 10 = 100.
Conclusion
Both methods confirm that the sum of the first 10 odd natural numbers is 100.
