Question

Tính giá trị biểu thức :

M=(1+1/2)×(1+1/3)×(1+1/4)×(1+1/5)....(1+1/2018)×(1+1/2019)

Answer 1

\(=>M=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{2020}{2019}\)

\(=>M=\frac{2020}{2}=1010\)

Answer 2

\(M=\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)...\left(1+\frac{1}{2018}\right)\left(1+\frac{1}{2019}\right)\)

    \(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{2019}{2018}.\frac{2020}{2019}\)

    \(=\frac{2020}{2}\)

    \(=1010\)

Study well ! >_<