Question

A=(1-1/3)x(1-1/4)x(1-1/5)x......x(1-1/99). Tim A

 

Answer 1

2/99 nha bạn mình làm rồi

ở violympic đúng ko

Answer 2

\(\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{5}\right)\cdot...\cdot\left(1-\frac{1}{99}\right)\)

\(=\frac{2}{3^{\left(1\right)}}\cdot\frac{3^{\left(1\right)}}{4^{\left(1\right)}}\cdot\frac{4^{\left(1\right)}}{5^{\left(1\right)}}\cdot...\cdot\frac{98^{\left(1\right)}}{99}\)

\(=\frac{2}{99}\)