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find-n-0-n-1-x-3n-2-calculate-n-0-n-1-8-n-




Question Number 33708 by math khazana by abdo last updated on 22/Apr/18
find  Σ_(n=0) ^∞  (n+1)x^(3n)   2) calculate  Σ_(n=0) ^∞    ((n+1)/8^n ) .
$${find}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\left({n}+\mathrm{1}\right){x}^{\mathrm{3}{n}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{{n}+\mathrm{1}}{\mathrm{8}^{{n}} }\:. \\ $$

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