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Question Number 97226 by mathmax by abdo last updated on 07/Jun/20

$$\mathrm{let}{\mathrm{a}}_{\mathrm{n}}\mathrm{the}\mathrm{sequence}\mathrm{wich}\mathrm{verify}{\mathrm{a}}_{\mathrm{n}}+{\mathrm{a}}_{\mathrm{n}+1}=\frac{{(-1)}^{\mathrm{n}}}{{\mathrm{n}}^2}$$$$\mathrm{calculate}\sum _{\mathrm{n}=1}^{\mathrm{\infty }}{\mathrm{a}}_{\mathrm{n}}{\mathrm{x}}^{\mathrm{n}}$$

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