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\(=\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot\dfrac{3}{4}\cdot\dfrac{4}{5}\\ =\dfrac{1}{5}\)
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}=\frac{1}{5}\)
(1-1/2)×(1-1/3)×(1-1/4)×(1-1/5)×1-1/6=1/2×2/3×3/4×4/5×5/6=1/6
\(=\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}\)
\(=\frac{1}{5}\)
\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}\)
\(=\frac{1.2.3.4}{2.3.4.5}\)
\(=\frac{1}{5}\)
theo mình nghĩ là
( 112 x 115 ) x ( 113 x 114 ) x 116
sai thì cho xin lỗi nha bn
\(\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{9}\right)\times...\times\left(1-\dfrac{1}{100}\right)\)
\(=\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times...\times\left(1-\dfrac{1}{10}\right)\times\left(1+\dfrac{1}{2}\right)\times\left(1+\dfrac{1}{3}\right)\times...\times\left(1+\dfrac{1}{10}\right)\)
\(=\dfrac{1}{2}\times\dfrac{2}{3}\times...\times\dfrac{9}{10}\times\dfrac{3}{2}\times\dfrac{4}{3}\times...\times\dfrac{11}{10}\)
\(=\dfrac{1}{10}\times\dfrac{11}{2}=\dfrac{11}{20}\)