Sum of Integers in Interval Simplified

This is not a problem that I’m facing. I just want to know if I solve the question in such a way I won’t be missing out on something important.

I feel in such questions we don’t need to find the mid-term. That’s actually unnecessarily complicating the simple process. We can simply find the number of intervals and find the sum of 1st and last term and then multiply both the values and simply divide by 2

This still results in the same answer.

1 Like

They’re both equivalent. I don’t see how one is faster than the other when they’re fundamentally the same.