= 1/3.(1/2-1/5)+1/3.(1/5-1/8)+....+1/3.(1/92-1/95)+1/3.(1/95-1/98)
=1/3.(1/2-1/5+1/5-1/8+....+1/92-1/95+1/95-1/98)
=1/3.(1/2-1/98)
=1/3.24/49
=8/49
Phân tích: 1/2.5 = 1/2 - 1/5
1/5.8 = 1/5 - 1/8
1/8.11 = 1/8 - 1/11
...
1/92.95 = 1/92 - 1/95
1/95.98 = 1/95 - 1/98
Ta có: 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 +...+ 1/92 - 1/95 + 1/95 - 1/98
3 = 3/2.5 + 3/5.8 + 3/8.11 + ...+ 3/92.95 + 3/95.98
3 = 1 - 1/2 + 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 +...+ 1/92 - 1/95 + 1/95 - 1/98
= 1 - 1/98
= 97/98 : 3 = 97/98 x 1/3 = (tự tính)
1/2.5+...+1/95.98
=1/2-1/5+1/5-1/8+....1/95+1/98
=1/2-1/98
=24/49
K NHA!!!
1/2.5 = 1/3.(1/2-1/5)
1/5.8 = 1/3.(1/5-1/8)
\(⋮\)
1/95.98 = 1/3.(1/95-1/98)
=1/3.(1/2-1/98)=8/49
=> 1/2.5+1/5.8+1/8.11+...+1/92.95+1/95.98=8/49
chép y như của tth nhé,mình làm giống vậy đó
Nhãn1/2.5+1/5.8+1/8.11+...+1/95.98
= 3/2.5+3/5.8+3/8.11+...+3/95.98
= 1/2-1/5+1/5-1/8+1/8-1/11+...+1/95-1/98
= 1/2-1/98
= 24/49
1/2.5+1/5.8+1/8.11+...+1/92.95+1/95.98
=1/3.(3/2-3/5+3/5-3/8+.........+3/92-3/95+3/95-3/98)
=1/3.(3/2-3/98)
=1/3.(147/98-3/98)
=1/3.144/98
=24/49