Автор - sanat58

(1×1/2)×(1+1/3)×(1+1/4)×.......×(1+1/15) =​

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Проверено экспертом

Автор - NNNLLL54

(1+frac{1}{2})cdot (1+frac{1}{3})cdot (1+frac{1}{4})cdot ...cdot (1+frac{1}{13})cdot (1+frac{1}{14})cdot (1+frac{1}{15})=\\=frac{3}{2}cdot frac{4}{3}cdot frac{5}{4}cdot ...cdot frac{14}{13}cdot frac{15}{14}cdot frac{16}{15}=frac{16}{2}=8

Ответ

Автор - takushnir

(1/2)*(4/3)*(5/4*(6/5)*(7/6)...(16/15)=(1/2)*((4*5*6*7*...16)/(3*4*5*6*...14*15)=

(1/2)*(16/3)=8/3=2целые 2/3

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