Предмет: Алгебра, автор: Aleexandra

Найдите сумму бесконечно убывающей прогрессии:2+1/2+1/4+1/8+.....

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Автор ответа: dtnth

$b_1=2;\ q=b_2:b_1=frac{frac{1}{2}}{2}=frac{1}{4};\ |q|<1;\ S=frac{b_1}{1-q};\ S=frac{2}{1-frac{1}{4}}=frac{2}{frac{3}{4}}=frac{2*4}{3}=frac{8}{3}=2frac{2}{3}$

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