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Sequence Generalization Proof

I have recently, been experimenting with numerical sequences, one of which were inspired by t​his problem. Please view the following work which I have conducted to arrive at my proof. Images are attached.

Note by Refath Bari
1 year, 6 months ago

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2^{34} \( 2^{34} \)
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\sum_{i=1}^3 \( \sum_{i=1}^3 \)
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Nice Observation and theorem. You can establish if no has yet and you should try to have a proof and try it with large numbers because maybe they can act as counter examples.

Achal Jain - 1 year, 6 months ago

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Thank you for the kind reply! Unfortunately, I'm not quite sure the process of a formal proof, or how to establish. It would be great if you could elaborate. Thanks!

Refath Bari - 1 year, 6 months ago

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Well i am sorry to say that what your trying to prove is not a theorem but just common properties. This is because your stating that n^2-k=n+k which can be written as n^2-n=2k or n(n-1)/2=k. Which is nothing but mere division and nothin else.

Achal Jain - 1 year, 6 months ago

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@Achal Jain Haha, yes. I was aware of that. Take a look at the "UPDATE"

Refath Bari - 1 year, 6 months ago

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@Refath Bari I knew Refath. I commented because if someone is wrong it's our responsibility to correct him/her. Note-Please Remove this bullshit or someone else will.

Achal Jain - 1 year, 6 months ago

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@Achal Jain Haha, Alright. Cheers (?).

Refath Bari - 1 year, 6 months ago

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