Question

Tính: G = ( 2²/1.3 ) . ( 3²/2.4 ) . ( 4²/3.5 ) ... ( 100²/99.101 )

Ai làm nhanh giúp em với ạ, đang gấp lắm. Em hứa tick cho ai xong nhanh nhất.

Answer 1

G = \(\dfrac{2^{2^{ }}}{1.3}\) . \(\dfrac{3^2}{2.4}\) . \(\dfrac{4^2}{^{ }3.5}\) ... \(\dfrac{100^2}{99.101}\)

G = \(\dfrac{2^2.3^2.4^2...100^2}{^{ }1.3.2.4.3.5...99.101}\)

G = \(\dfrac{2^2.3^2.4^2...100^2}{^{ }1.2.3^2.4^2.5^2...99^2.100.101}\)

G = \(\dfrac{2^2.100^2}{1.2.100.101}\)

G = \(\dfrac{2.100}{1.101}\)

G = \(\dfrac{200}{101}\)