The Sum of Consecutive Integers from 1 to 200
Have you ever wondered what the sum of consecutive integers from 1 to 200 is? In this article, we will explore the concept of the sum of consecutive integers and provide the answer to this question.
What is the Sum of Consecutive Integers?
The sum of consecutive integers is a mathematical concept that involves adding up a sequence of integers in a specific order. In this case, we are interested in finding the sum of consecutive integers from 1 to 200.
The Formula
To find the sum of consecutive integers, we can use the formula:
1 + 2 + 3 + ... + n = n(n+1)/2
Where n is the last number in the sequence.
Calculating the Sum
Using the formula above, we can calculate the sum of consecutive integers from 1 to 200:
1 + 2 + 3 + ... + 200 = 200(200+1)/2 = 200(201)/2 = 20,100
The Answer
The sum of consecutive integers from 1 to 200 is 20,100.
Conclusion
In conclusion, the sum of consecutive integers from 1 to 200 is 20,100. This calculation can be useful in various mathematical and real-world applications. Whether you're a student, teacher, or just a math enthusiast, understanding the concept of the sum of consecutive integers can be a valuable tool in your problem-solving arsenal.
