Question

A=1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72

Ai nhanh nhat minh se tik cho nha nhan len nhe

Answer 1

A=1/2+1/6+....+1/56+1/72

A=1/1.2+1/2.3+...+1/7.8+1/8.9

A=1/1-1/2+1/2-1/3+...+1/7-1/8+1/8-1/9

A=1/1-1/9=9/9-1/9=8/9

Answer 2

Thanks ban nha

Answer 3

A=\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+..\frac{1}{8.9}\)

A=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+..+\frac{1}{8}-\frac{1}{9}\)

A=1-\(\frac{1}{9}\)=\(\frac{8}{9}\)

Answer 4

A=\(\frac{1}{1\cdot2}\)+\(\frac{1}{2\cdot3}\)+\(\frac{1}{3\cdot4}\)+\(\frac{1}{4\cdot5}\)+\(\frac{1}{5\cdot6}\)+\(\frac{1}{6\cdot7}\)+\(\frac{1}{7\cdot8}\)+\(\frac{1}{8\cdot9}\)

  =1-\(\frac{1}{2}\)+\(\frac{1}{2}\)-\(\frac{1}{3}\)+\(\frac{1}{3}\)-\(\frac{1}{4}\)+\(\frac{1}{4}\)-\(\frac{1}{5}\)+\(\frac{1}{5}\)-\(\frac{1}{6}\)+\(\frac{1}{6}\)-\(\frac{1}{7}\)+\(\frac{1}{7}\)-\(\frac{1}{8}\)+\(\frac{1}{8}\)-\(\frac{1}{9}\)

  =1-\(\frac{1}{9}\)=\(\frac{8}{9}\)