=>1-1/2+1/2-1/3+...+1/x-1/(x+1)=2022/2021
=>1-1/(x+1)=2022/2021
=>1/(x+1)=-1/2021=1/-2021
=>x+1=-2021
=>x=-2022
=>1-1/2+1/2-1/3+...+1/x-1/(x+1)=2022/2021
=>1-1/(x+1)=2022/2021
=>1/(x+1)=-1/2021=1/-2021
=>x+1=-2021
=>x=-2022
Tính nhanh: A= \(\dfrac{2022}{1.2}+\dfrac{2022}{2.3}+\dfrac{2022}{3.4}+...+\dfrac{2022}{2021.2022}\)
tinh:
a,A=1+2+3+........+2015
b,B=1+2+5+.........+1017
c,C=2+4+6+..........+2014
d,D=1+4+7+...........+2008
e,E=1.2+2.3+3.4+................1001+1002
tinh:
a,A=1+2+3+........+2015
b,B=1+2+5+.........+1017
c,C=2+4+6+..........+2014
d,D=1+4+7+...........+2008
e,E=1.2+2.3+3.4+................1001+1002
tinh:
a,A=1+2+3+........+2015
b,B=1+2+5+.........+1017
c,C=2+4+6+..........+2014
d,D=1+4+7+...........+2008
e,E=1.2+2.3+3.4+................1001+1002
tinh:
a,A=1+2+3+........+2015
b,B=1+2+5+.........+1017
c,C=2+4+6+..........+2014
d,D=1+4+7+...........+2008
e,E=1.2+2.3+3.4+................1001+1002
tinh:
a,A=1+2+3+........+2015
b,B=1+2+5+.........+1017
c,C=2+4+6+..........+2014
d,D=1+4+7+...........+2008
e,E=1.2+2.3+3.4+................1001+1002
1) Tìm x biết:
\(\left(1-\dfrac{3}{10}-x\right):\left(\dfrac{19}{10}-1-\dfrac{2}{5}\right)+\dfrac{4}{5}=1\)
2) Tính nhanh
a)\(\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+\dfrac{1}{3.4.5}+...+\dfrac{1}{10.11.12}\)
b)\(\dfrac{1^2}{1.2}.\dfrac{2^2}{2.3}.\dfrac{3^2}{3.4}.\dfrac{4^2}{4.5}\)
Tính nhanh:
1.2+2.3+3.4+...+99.100
Tính :
1.2 +2.3 +3.4 +4.5 +....+98.99 +99.100