Thursday, May 30, 2019

algebra precalculus - Why does 1+2+3+cdots+p=(12)cdots(p+1)

I saw this from Project Euler, problem #1:



If we now also note that 1+2+3++p=(1/2)p(p+1)



What is the intuitive explanation for this? How would I go about deriving the latter from the former? It has the summation express which I am not sure how to deal with, so unfortunately I am not even sure how I would begin to show these are equivalent.

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