(1-1/2).(1-1/3).(1-1/4).(1-1/5)=b/100
=> 1/2.2/3.3/4.4/5=b/100
=> 1/5=b/100
=> b=100:5=20
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Các câu hỏi tương tự
Tính giá trị biểu thức :
\(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot....\cdot\left(1-\frac{1}{99}\right)\cdot\left(1-\frac{1}{100}\right)\)
\(\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\cdot....\cdot\left(1+\frac{1}{98}\right)\cdot\left(1+\frac{1}{99}\right)=\)?
\(a,\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot......\left(1-\frac{1}{18}\right)\cdot\left(1-\frac{1}{19}\right)\cdot\left(1-\frac{1}{20}\right)\)
\(\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\cdot...\cdot\left(1+\frac{1}{10}\right)\) = ?
T = \(\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{9}\right)\cdot\left(1-\frac{1}{16}\right)\cdot........\cdot\left(1-\frac{1}{576}\right)\cdot\left(1-\frac{1}{625}\right)\)
T = ?
Tính T biết: \(T=\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{9}\right)\cdot\left(1-\frac{1}{16}\right)\cdot...\cdot\left(1-\frac{1}{576}\right)\cdot\left(1-\frac{1}{625}\right)\)
Tính T = \(\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{9}\right)\cdot\left(1-\frac{1}{16}\right)\cdot....\left(1-\frac{1}{576}\right)\cdot\left(1-\frac{1}{625}\right)\)
\(\)tính giá trị biểu thức :\(\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\cdot...........\left(1+_{\frac{1}{2013}}\right)\)
Tính nhanh:
\(\left(1+\frac{1}{100}\right)\cdot\left(1+\frac{1}{99}\right)\cdot\left(1+\frac{1}{98}\right)\cdot...\cdot\left(1+\frac{1}{2}\right)\)
. là nhân nhé còn ... là vâng vâng