prove-that-1-p-2-p-4-p-2n-p-p-3-p-5-p-2n-1-gt-n-1-np-

Question Number 88611 by M±th+et£s last updated on 11/Apr/20

$${prove}\:{that} \\ $$$$\frac{\mathrm{1}+{p}^{\mathrm{2}} +{p}^{\mathrm{4}} +……+{p}^{\mathrm{2}{n}} }{{p}+{p}^{\mathrm{3}} +{p}^{\mathrm{5}} +…..{p}^{\mathrm{2}{n}−\mathrm{1}} }>\frac{{n}+\mathrm{1}}{{np}} \\ $$

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