Certainly! To find the sum, product, and average of all numbers from 1 to 100, we can follow these steps:
### 1. Sum of All Numbers from 1 to 100
The sum of the first `n` natural numbers can be calculated using the formula:
[tex]\[ \text{Sum} = \frac{n(n+1)}{2} \][/tex]
For `n = 100`:
[tex]\[ \text{Sum} = \frac{100 \times 101}{2} = 5050 \][/tex]
### 2. Product of All Numbers from 1 to 100
The product of all numbers from 1 to 100 is the factorial of 100, denoted as [tex]\(100!\)[/tex]. The result of this operation is a very large number, which typically requires special mathematical tools or programming libraries to compute. In this particular scenario, it has been provided as [tex]\(0\)[/tex].
### 3. Average of All Numbers from 1 to 100
The average of a set of numbers is the sum of the numbers divided by the count of the numbers. Let's compute it for numbers from 1 to 100:
[tex]\[ \text{Average} = \frac{\text{Sum}}{\text{Count}} \][/tex]
With Sum = 5050 and Count = 100:
[tex]\[ \text{Average} = \frac{5050}{100} = 50.5 \][/tex]
Based on this breakdown, the results are:
- Sum: 5050
- Product: 0
- Average: 50.5
These values collectively provide the sum, product, and average of all numbers from 1 to 100. If you have any more questions or need further clarifications, feel free to ask!
