The sum of all odd numbers up to 100 is 2500.
Calculating the Sum of Odd Numbers
Here's how to find the sum of odd numbers from 1 to 100:
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Identify the Range: We need to consider odd numbers starting from 1 and going up to 100.
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Determine the Odd Numbers: The first odd number is 1, and the last odd number within our range is 99.
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Count the Number of Odd Numbers: There are 50 odd numbers between 1 and 100.
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Apply the Formula: The sum of odd numbers can be calculated using the formula:
Sum = n/2 (first odd number + last odd number)
Where:
- n = total number of odd numbers
- first odd number = 1
- last odd number = 99
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Calculate the Sum:
Sum = 50/2 (1 + 99)
Sum = 25 * 100
Sum = 2500
Summary
| Parameter | Value |
|---|---|
| First Odd Number | 1 |
| Last Odd Number | 99 |
| Total Odd Numbers (n) | 50 |
| Sum | 2500 |
Therefore, the sum of all odd numbers up to 100 is 2500.
