Calculating the Sum of Consecutive Integers from 1 to 1000
Have you ever wondered what the sum of consecutive integers from 1 to 1000 would be? Let's dive into the calculation and find out.
The Formula
To calculate the sum of consecutive integers, we can use the formula:
Sum = n * (n + 1) / 2
where n is the number of terms in the series.
Calculating the Sum
In our case, we want to calculate the sum of integers from 1 to 1000. So, n is equal to 1000.
Sum = 1000 * (1000 + 1) / 2
Let's Calculate
Let's plug in the values and calculate the sum:
Sum = 1000 * (1000 + 1) / 2
Sum = 1000 * 1001 / 2
Sum = 1,001,000 / 2
Sum = 500,500
The Answer
The sum of consecutive integers from 1 to 1000 is 500,500.
Isn't that an impressive result? The formula makes it possible to calculate the sum of a large number of consecutive integers with ease.
Conclusion
In conclusion, we've calculated the sum of consecutive integers from 1 to 1000 using the formula Sum = n * (n + 1) / 2. The result is an astonishing 500,500. This calculation demonstrates the power of mathematical formulas in solving complex problems.
