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Find the sum of the series 1*n+2*(n-1)+3...

Find the sum of the series `1*n+2*(n-1)+3*(n-2)+4*(n-3)+....(n−1).2+n.1"` also, find the coefficient of `x^(n-1)` in th cxpansion of `(1+2x+3x^(2)+"...."nx^(n-1))^(2)`.

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