The Sum of Consecutive Integers from 1 to 100
Have you ever wondered what the sum of consecutive integers from 1 to 100 is? In this article, we will explore the calculation and provide the answer.
The Calculation
To calculate the sum, we can start by listing the numbers from 1 to 100:
1 + 2 + 3 + 4 + 5 + ... + 100
We can use the formula for the sum of an arithmetic series:
Sum = n/2 * (first term + last term)
where n is the number of terms, and the first term is 1 and the last term is 100.
n = 100 (there are 100 integers from 1 to 100)
First term = 1 Last term = 100
Plugging in the values, we get:
Sum = 100/2 * (1 + 100) Sum = 50 * 101 Sum = 5050
Therefore, the sum of consecutive integers from 1 to 100 is 5050.
Conclusion
In conclusion, the sum of consecutive integers from 1 to 100 is 5050. This calculation can be useful in various mathematical and real-world applications. We hope this article has been informative and helpful!
