The Sum of Consecutive Numbers from 1 to 1000
Have you ever wondered what the sum of consecutive numbers from 1 to 1000 is? This article will explore the calculation of this sum and provide the answer.
The Formula
The formula to calculate the sum of consecutive numbers from 1 to n is:
1 + 2 + 3 + ... + n = n(n+1)/2*
This formula is known as the formula for the sum of an arithmetic series.
Calculating the Sum
Using the formula above, we can calculate the sum of consecutive numbers from 1 to 1000 as follows:
1 + 2 + 3 + ... + 1000 = 1000(1000+1)/2*
= 1000*1001/2
= 500,500
Therefore, the sum of consecutive numbers from 1 to 1000 is 500,500.
Conclusion
In this article, we have calculated the sum of consecutive numbers from 1 to 1000 using the formula for the sum of an arithmetic series. The answer is 500,500. This calculation demonstrates the power of mathematics in solving complex problems quickly and efficiently.
