Question

[₦₲ɄɎɆ₦ Ḏł₦廾 ฿₳₵廾]

tính : 1/2+2/3+3/4+4/5+5/6+...+99/100

Answer 1

[Nguyễn Viết Huy]

5050 nhé

Answer 2

[Hà Ngọc Ánh Nhi]

1/2+2/3+3/4+5/6+....+99/100

=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6...+1/99-1/100

=1/1+(-1/2+1/2)+(-1/3+1/3)+(-1/4+1/4)+(-1/5+1/5)+...+(-1/99+1/99)+1/100

=1/1+0+0+0+0+...+0-1/100

=1/1-1/100

=100/100-1/100

=99/100