Question

[Nguyễn Trà Giang]

\(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}........+\frac{1}{15x16}=?\)

x là nhân nhé. Nhanh và đúng mình tick

Answer 1

[Namikaze Minato]

\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{15.16}\)

\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{15}-\frac{1}{16}\)

\(=1-\frac{1}{16}=\frac{15}{16}\)

Answer 2

[Kiên-Messi-8A-Boy2k6]

\(\frac{1}{1x2}+\frac{1}{2x3}+...+\frac{1}{15x16}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{15}-\frac{1}{16}\)

\(=1-\frac{1}{16}\)

\(=\frac{15}{16}\)