this post was submitted on 11 Sep 2024
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tbf, the 2nd sum is exactly the first one just multiplied by 1/2. though i get that the progression is natural, even, and odd.
the last one is definitely ~~odd~~ puzzling, but i cannot intuitively get the first one. how does summing the inverse of triangular number equal 2?
It's not saying the proof is obvious, just that the result is plausible on its face.