Question Number 30586 by abdo imad last updated on 23/Feb/18
$${let}\:{p}=\mathrm{1}+{x}+{x}^{\mathrm{2}} \:+….+{x}^{\mathrm{2}^{{n}+\mathrm{1}} −\mathrm{1}} \:{and}\:\:{q}=\:\mathrm{1}+{x}^{\mathrm{2}^{{n}} } \\ $$$${find}\:\alpha=\:\frac{{p}}{{q}}\:. \\ $$