Đặt P = 1.2+2.3+3.4+...+99.100
3P = 1.2.3+2.3.3+3.4.3+...+99.100+3
3P = 1.2 (3-0) +2.3(4-1)+3.4(5-2) +...+ 99.100( 101-98)
3P = ( 1.2.3 + 2.3.4 + 3.4.5 + 99.100.101 ) -( 0.1.2 + 1.2.3 + 2.3.4 + ....+ 98.99.100)
3P = 99.100.101 - 0.1.2
3P = 999900 - 0
3P = 999900
P = 999900 : 3
P = 333300
Tính :
1.2 +2.3 +3.4 +4.5 +....+98.99 +99.100
Tính nhanh: A= \(\dfrac{2022}{1.2}+\dfrac{2022}{2.3}+\dfrac{2022}{3.4}+...+\dfrac{2022}{2021.2022}\)
Áp dụng tính tổng : S=1.2+2.3+4.5+...+99.100
1/1.2+1/2.3+1/3.4+...+1/x.(x+1)=2022/2021
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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
