Tuesday, August 1, 2017

algebra precalculus - Proof for formula for sum of sequence $1+2+3+ldots+n$?

Apparently $1+2+3+4+\ldots+n = \dfrac{n\times(n+1)}2$.




How? What's the proof? Or maybe it is self apparent just looking at the above?



PS: This problem is known as "The sum of the first $n$ positive integers".

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