\(=\dfrac{1}{2}\cdot2\cdot\left(\dfrac{1}{1\cdot2\cdot3}+\dfrac{1}{2\cdot3\cdot4}+...+\dfrac{1}{18\cdot19\cdot20}\right)\)
\(=\dfrac{1}{1\cdot2}-\dfrac{1}{2\cdot3}+\dfrac{1}{2\cdot3}-\dfrac{1}{2\cdot4}+...+\dfrac{1}{18\cdot19}-\dfrac{1}{19\cdot20}\)
=1/2-1/380
=179/380
Bài 3: Rút gọn các phân số sau đây: a) 246246246 / 357357357
b) 555555 – 10101 /1212120 + 40404
d) 3.4.7 + 7.8.35 + 10.11.49 + 13.15.56 / 3.4.5 + 7.8.25 + 10.11.35+ 13.15.40
e) 1 +2 + 3 +...+ 8 + 9/ 11 + 12 + 13 + ...+ 18 + 19
c) 2 trên 40. 3 trên 18. 13 trên 2 / 2 trên 39. 3 trên 17. 39
tính nhanh:
a, 5/2 + 5/6 + 5/18 + 5/54+5/162+5/486
b, 2/3+2/6+2/12+2/24+2/48+2/96+2/192
c, 1/3+1/9+1/27+1/81+1/243+1/729
d, 3/2+3/8+3/32+3/128+3/512
e, 1/2.3+1/3.4+1/5.6+1/6.7+1/7.8
g, 4/3.7+4/7.11+4/11.15+4/15.19+4/19.23+4/23.27
h, 2/2.5+2/5.8+2/8.11+2/11.14+2/14.17
i, 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13+4/11.13.15
k,2/1.2.3+2/2.3.4+2/3.4.5+2/4.5.6+2/5.6.7+2/6.7.8
Tính gia trị biểu thức: A=1.2+2.3+3.4+...+99.100; B=12+22+32+...+992+1002; C=1.2.3+2.3.4+3.4.5+4.5.6+5.6.7+6.7.8+7.8.9+8.9.10
1.Tính
A=\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+.....+\dfrac{1}{99.100}\)
B=\(\dfrac{3}{5.6}+\dfrac{3}{6.7}+\dfrac{3}{7.8}+.....+\dfrac{3}{101.102}\)
C=\(\dfrac{1}{1.2.3}+\dfrac{1}{3.4.5}+\dfrac{1}{5.6.7}\)
D=\(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}\)
Câu 1 : 1.2+2.3+3.4+...+30.31
Câu 2 : 1.2.3+2.3.4+3.4.5+...+30.31.32
A=1.2.3+3.4.5+5.6.7+...+99.100.101
B=1.2^2+2.3^2+3.4^2+4.5^2+...+99.101^2
1+1/1+2+1/1+2+3+...+1/1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19
1.tính nhanh (nếu có thể)
a)29.(19-13)-19.(29-13)
b)31.(-18)+31.(-81)-31
c)(7.3-3):(-6)
d)72:[(-6).2+4)]
2 tính nhanh (nếu có thể)
a)(-12).47+(-12).52+(-12)
b)13.(23+22)-3.(17+28)
c)18-10:(-2)-7
d)99:[(-7).2+5)
Tính giá trị các tổng sau theo n:(n>0)
A=1+2+3+....+n
B=1+3+5+...+(2n+1)
C=1.2+2.3+3.4+.....+n(n+1)
D=1.2.3+2.3.4+3.4.5+....+n(n+1)(n+2)
