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To "solve" this problem, I will consider the following geometric series, of course, |x|<1:

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I studied something after making that crazy thing. This time I will use the Euler's theorem which states that, if two positive integers \(a\) and \(b\) are relatively prime ...

Which integers can be multiplied by another integer so the product is in the form of 999....999?

To answer this question, will use some concepts, though I don't ...

On this note, I said about some patterns, even though the Faulhaber's formula makes this somewhat useless, I found some patters, first of all, as someone commented:

This wiki page page inspired me to do discover \(\sum^n_{i=1}i^a\) with \(a\) being a natural number; I will just start using ...

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