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Question Number 22468 by Tinkutara last updated on 18/Oct/17

$$\mathrm{If}{a}_r\mathrm{is}\mathrm{the}\mathrm{coefficient}\mathrm{of}{x}^r\mathrm{in}\mathrm{the}$$$$\mathrm{expansion}{(1+x+x^2)}^n,\mathrm{then}$$$$a_1-2a_2+3a_3-.......2{na}_{2n}=$$

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