Question

[Trịnh Thùy Dương]

tính GTBT:

N=\(\frac{-1^2}{1\cdot2}\cdot\frac{-2^2}{2\cdot3}\cdot\frac{-3^2}{3\cdot4}\cdot\cdot\cdot\frac{-100^2}{100\cdot101}\cdot\frac{-101^2}{101\cdot102}\)

Answer 1

[ghost river]

\(N=\frac{-1^2}{1.2}.\frac{-2^2}{2.3}.\frac{-3^2}{3.4}....\frac{-100^2}{100.101}.\frac{-101^2}{101.102}\)
    \(=\frac{1}{1.2}.\frac{2.2}{2.3}.\frac{3.3}{3.4}....\frac{100.100}{100.101}.\frac{101.101}{101.102}\)
    \(=\frac{1.2.2.3.3....100.100.101.101}{1.2.2.3.3.4....100.101.101.102}\)
     \(=\frac{1}{102}\)

Answer 2

[Tran Hoai Anh]

kho qua chi a