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Mathematics 8 Online
OpenStudy (steve816):

Explain? https://pbs.twimg.com/media/CWIlo1JWIAAlPVE.png

OpenStudy (mathmale):

Truly fascinating table. Who is supposed to "explain" what?

ganeshie8 (ganeshie8):

That is pretty patterny !

OpenStudy (mathmale):

You could do something as simple as verbalize what you see happening in this table, or you could go deep into number theory to explain how it happens that we get these beautiful results.

OpenStudy (xapproachesinfinity):

saw this one before, that's pretty cool pattern

ganeshie8 (ganeshie8):

|dw:1451620624833:dw|

ganeshie8 (ganeshie8):

It might help to notice that left hand side can be expressed as : \[\left(\sum\limits_{i=1}^n i10^{n-i}\right)\times 8~~+~n \]

Nnesha (nnesha):

ganeshie8 ganeshie8 ganeshie8 ganeshie8^n

ganeshie8 (ganeshie8):

Next, observe that right hand side becomes a repunit \(R_{n+1}\) on adding \(123\ldots n+1\) : |dw:1451622069411:dw|

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