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What's the answer to this infinite sum?

First obvious answer gets 100 sats, first less obvious answer gets 200.

Hint, i was reminded of this question after reading this post on the problems of renormalization in general relativity.

I've been reading a bit about this topic, and the answer is -1/12 (Ramanujan summation), but to be honest, I don't quite understand why. Ha ha ha

https://imgprxy.stacker.news/BXx3n7YWV1clHpC5FhVtcspurg8uNXGG01jnQkB-lTc/rs:fit:1280:720/aHR0cHM6Ly9tLnN0YWNrZXIubmV3cy82NDEz

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That's correct. If you don't mind, I'll explain tomorrow why that is, i need to sleep now.

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Okay, I'd like to know. But you have to explain it like I'm a 5-year-old. GN

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Explanation by people who have better pedagogical skills than I do.

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That's for the obvious answer.
Let's see if any one can find the correct counterintuitive answer as well...

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answer = (1 + lastElement) * 0.5 * totalCountOfElelements

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āˆž+āˆž+1
Or... A lot?šŸ˜…

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āˆž+āˆž

Try again with āˆž-āˆž, and you'll get closer to the answer of -1/12.

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According to DEEP THOUGHT it's 42.

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