Question

Moi cac ban tinh dum minh cai

tinh bang cach thuan tien nhat:

1/2x3 + 1/3x4 + 1/4x5 +1/5x6

Answer 1

Đặt \(A=\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+\frac{1}{5x6}\)

\(A=\frac{3-2}{2x3}+\frac{4-3}{3x4}+\frac{5-4}{4x5}+\frac{6-5}{5x6}\)

\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(A=\frac{1}{2}-\frac{1}{6}\)

\(A=\frac{3}{6}-\frac{1}{6}\)

\(A=\frac{2}{6}=\frac{1}{3}\)