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Ta có: A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 18.19.20
=> 4A = 4(1.2.3 + 2.3.4 + 3.4.5 + ... + 18.19.20)
=> 4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 +...... +18.19.20.4
=> 4A = 1.2.3.4 + 2.3.4(5 - 1) + 3.4.5.(6 - 2) +..... +18.19.20.(21 - 17)
=> 4A = 1.2.3.4 + 2.3.4.5 - 2.3.4 + 3.4.5.6 - 2.3.4.5 + ..... + 17.18.19.20 - 17.18.19.20
=> 4A =18.19.20
=> 4A = 6840
=> A = 1710
Đặt A=1.2.3+2.3.4+3.4.5+4.5.6+...+18.19.20
4A=(1.2.3+2.3.4+3.4.5+4.5.6+...+18.19.20)4
4A=1.2.3(4-0)+2.3.4(5-1)+3.4.5(6-2)+4.5.6(7-3)+...+18.19.20.(21-17)
4A=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+4.5.6.7-3.4.5.6+...+ 18.19.20.21-17.18.19.20
=>A =18.19.20.21
=>A+18.19.20.21/4
=> A=35910
a)7^3.25-7^3.18
=7^3.(25-18)
=7^3.7
=7^3+1
=7^4
b)2^4.15-[173-(14-9)^2]
=16.15-[173-5^2]
=240-[173-25]
=240-148
=92
c)53.147+53^2+47.200
=53.147+53.53+47.200
=53.(147+53)+47.200
=53.200+47.200
=200.(53+47)
=200.100
=20000
d)36:{280:[240-(95+3.25)]}
=36:{280:[240-(95+75)]}
=36:{280:[240-170]}
=36:{280:70}
=36:4
=9
D = 1.2 + 2.3 + 3.4 + ... + 99.100
=> 3D = 1.2.3 + 2.3.3 + 3.4.3 + ... + 99 . 100 .3
= 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + .... + 99 . 100. (101 - 98)
= 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100
= 99.100.101
= 999900
=> D = 999900 : 3
= 333300
\(D-1=\left(1.2+2.3+...+99.100\right)\)
\(3\left(D-1\right)=1.2.3+2.3\left(4-1\right)+3.4\left(5-2\right)+...+99.100\left(101-98\right)\)
\(3\left(D-1\right)=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+99.100.101-98.99.100\)
\(3\left(D-1\right)=99.100.101\)
\(D-1=\frac{99.100.101}{3}=333300\Leftrightarrow D=333300+1=333301\)
\(\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)+\left(\frac{1}{2}+\frac{3}{4}+\frac{3}{4}\right)-2=?\)
what?