Question

[Trịnh Thị Xuân Thuỷ]

1)  Tính  2/3.5+2/5.7+2/7.9+2/9.11+2/11.13+2/13.15+2/1.2+2/2.3+2/3.4+2/4.5+...+2/9.10 

2)  Tìm x biết:   (11/12+11/12.24+11/23.34+...+11/89.100)

Answer 1

[Nguyễn Thị Ngọc Trâm]

1)

2/3.5+2/5.7+...+2/11.13+2/13.15+2/1.2+2/2.3+...+2/9.10

=(2/3.5+...2/13.15)+(2/1.2+...+2/9.10)

= (2/3-2/15)+ [2(1-1/10)]

=8/15+9/5

=7/3

2)

11/12+11/12.24+...+11/88.99

=11-1/9

=10/8/9