Deriving the Sum of the Arithmetic Sequence

We have discussed arithmetic progression or arithmetic sequence and you have learned how to find its nth term. In the previous post, you have also learned how to find the sum of the first n positive integers. Notice that first n positive integers 1, 2, 3, 4, 5, all the way up to n is also an arithmetic sequence […]
Continue reading…

 

Sum of the First n Positive Integers: Another Solution

Late last month, we have seen how Gauss had possibly calculated the sum of the first n positive integers.  In this post, we explore another solution. As we have done before, let us  first start with a specific example, and then generalize later. What is the sum of the first 6 positive integers? If we […]
Continue reading…