The Sum of Consecutive Integers from 1 to 100
Have you ever wondered what the sum of all consecutive integers from 1 to 100 is? In this article, we will explore the answer to this intriguing question.
The Formula
The sum of consecutive integers from 1 to n can be calculated using the formula:
S = n * (n + 1) / 2
where S is the sum and n is the number of consecutive integers.
Calculating the Sum
Using the formula above, let's calculate the sum of consecutive integers from 1 to 100:
S = 100 * (100 + 1) / 2
S = 100 * 101 / 2
S = 5050
The Answer
So, the sum of consecutive integers from 1 to 100 is 5050.
Conclusion
In conclusion, the sum of consecutive integers from 1 to 100 is a staggering 5050. This calculation can be applied to any range of consecutive integers, making it a useful tool for solving mathematical problems.
