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The set of natural numbers is divided in...

The set of natural numbers is divided into array of rows and columns in the form of matrices as `A_(1)=[1], A_(2)=[(2,3),(4,5)], A_(3)=[(6,7,8),(9,10,11),(12,13,14)]` and so on. Let the trace of `A_(10)` be `lambda` . Find unit digit of `lambda` ?

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The correct Answer is:
`(n)/( 6) (2n^(3) +n+3) `
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