Stupid Question/Formula
Many moons ago, when I was in elementary school; I would get bored and add the numbers on my calculator.
One day I wanted to find the sum of all the numbers from through 100, and so I added them one by one. But then I thought "there's gotta be an easier way to do this" and stumbled upon a formula.
If you multiply the final number in the sequence by it's half and .5, you get the sum.So for example 1 through 10 would be 10x5.5, resulting in 55.
My question is, is this a known (albeit somewhat useless) formula in the world of math, and if so what's its name?