1.A=(2/3+3/4+4/5+................+99/100)*(1/2+2/3+..............+98/99);B=(1/2+2/3+..............+99/100)*(2/3+3//4+...................+98/99)
Tính A và B bằng cách thuận tiện nhất.
2.Cho a=2008/2009;b=2009/2008;c=1/2009;d=2007/2008
Tính a-b+c+d
3.Tìm STN m biết:
2016+m/m+2520+m/m+3024+m/m
Tính A:B
a)A=98+1/2+1/3+1/4+...+1/99
B=2/3+4/3+5/4+...+100/99
b)A=2018+1/2+1/3+1/4+...+1/2019
B=3/2+4/3+3/4+...+2020/2019
c)A=99/1+98/2+97/3+...+2/98+1/99
B=1/2+1/3+1/4+...+1/100
Giải đầy đủ
Tính nhanh
a.(1+1/2)×(1+1/3)×(1+1/4)×...×(1+1/98)×(1+1/99).
b.1/2×2/3×3/4×...×97/98×98/99×99/100
tính nhanh (2/3+3/4+5/6+...+99/100).(1/2+2/3+3/4+...+98/99)-(1/2+1/3+...+99/100).(2/3+2/4+...+98/99)
A=1/2+1/3+1/4+....+1/100
B=99/1+98/2+97/3+....+2/98+1/99
Cho A = 100+1/99+2/98+...99/1
B = 100-1/2-2/3-3/4-...-98/99
Tính A/B
1/2:3+1/3:4+1/4:5+...+1/98:99+1/99:100
Tính nhanh
1*2*3+2*3*4+3*4*5+....+97*98*99+98*99*100 = ?
1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+...+1/98*99+1/99*100