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A=\(\frac{1.2.3.....20.\left(21.22.23.....39\right)}{\left(21.22.23.....39\right).40}\)
A=\(\frac{1.2.3.....20}{40}\)
A=\(1.3.4.5.....18.19\)
+2.20/40.
A=1.3.4.5.....18.19+1.
A= tự bấm máy là ra.
tk mk nha các bn.
-chúc ai tk mk học giỏi-
\(\frac{2x-9}{240}=\frac{39}{80}\)
\(\Rightarrow\left(2x-9\right).80=240.39\)
\(160x-720=9360\)
\(160x=9360+720\)
\(160x=10080\)
\(x=10080:160\)
\(x=63\)
Vậy x=63
1. Ta có : \(C=\frac{1010}{1008\cdot8-994}=\frac{1010}{\left(1010-2\right)\cdot8-994}=\frac{1010}{1010\cdot8-16-994}\)
\(=\frac{1010}{1010\cdot8-1010}=\frac{1010}{1010\left(8-1\right)}=\frac{1}{7}\)
\(D=\frac{1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+5\cdot10\cdot15}{1\cdot3\cdot6+2\cdot6\cdot12+3\cdot9\cdot18+5\cdot15\cdot30}\)
\(D=\frac{1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+5\cdot10\cdot15}{1\cdot2\cdot3\cdot3+2\cdot4\cdot6\cdot3+3\cdot6\cdot9\cdot3+5\cdot10\cdot15\cdot3}\)
\(D=\frac{1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+5\cdot10\cdot15}{3\left(1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+5\cdot10\cdot15\right)}=\frac{1}{3}\)
2. \(\frac{2x-9}{240}=\frac{39}{80}\)
=> \(\frac{2x-9}{240}=\frac{39\cdot3}{80\cdot3}=\frac{117}{240}\)
=> 2x - 9 = 117
=> 2x = 117 + 9 = 126
=> x = 126 : 2 = 63
Ta có:\(\frac{1.3.5......39}{21.22.23........4}=\frac{1.3.5....39.2.4.6...40}{21.22.23......40.2.4.6.....40}\)
=\(\frac{40!}{21.22....40\left(1.2.3....20\right).2^{20}}\)
=\(\frac{40!}{40!2^{20}}=\frac{1}{2^{20}}\)
\(\frac{1\cdot3\cdot5\cdot......\cdot39}{21\cdot22\cdot23\cdot.....\cdot40}=\frac{(1\cdot3\cdot5\cdot....\cdot39)(2\cdot4\cdot6\cdot....\cdot40)}{(21\cdot22\cdot23\cdot....\cdot40)(2\cdot4\cdot6\cdot....\cdot40)}\)
\(=\frac{1\cdot2\cdot3\cdot....\cdot39\cdot40}{21\cdot22\cdot23\cdot....\cdot40\cdot(1\cdot2\cdot3\cdot....\cdot20)\cdot2^{10}}=\frac{1}{2^{10}}\)
P/S : Hoq chắc :>
Ta có: \(\dfrac{1.3.5.....39}{21.22.23.....40}=\dfrac{\left(2.4.6.....40\right).\left(1.3.5....39\right)}{\left(2.4.6...40\right).\left(21.22.23...40\right)}\)
=\(\dfrac{1.2.3...40}{\left[\left(1.2\right).\left(2.2\right)...\left(2.20\right)\right].21.22.23...40}\)= \(\dfrac{1.2.3...40}{1.2.3...40.2^{20}}\)=\(\dfrac{1}{2^{20}}\)
Vậy...
Chúc p hk tốt