The Sum of Consecutive Integers from 1 to 20
Have you ever wondered what the sum of consecutive integers from 1 to 20 is? Let's find out!
The Formula
The formula to calculate the sum of consecutive integers is:
1 + 2 + 3 + ... + n = n(n+1)/2*
Where n is the number of terms.
Calculating the Sum
Let's use the formula to calculate the sum of consecutive integers from 1 to 20:
1 + 2 + 3 + 4 + 5 + ... + 20 = 20(20+1)/2*
= 20*21/2
= 210
So, the sum of consecutive integers from 1 to 20 is 210.
Breakdown
Here's the breakdown of the sum:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 = 45
45 + 10 + 11 + 12 = 88
88 + 13 + 14 + 15 = 139
139 + 16 + 17 + 18 = 200
200 + 19 + 20 = 210
As you can see, the sum of consecutive integers from 1 to 20 is indeed 210.
Conclusion
In this article, we calculated the sum of consecutive integers from 1 to 20 using the formula n(n+1)/2*. We also broke down the sum into smaller parts to illustrate the calculation. The final answer is 210.
