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Bài làm
\(D=\frac{6}{3,5}+\frac{6}{5.7}+...+\frac{6}{21.23}\)
\(D=3.\left(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{21.23}\right)\)
\(D=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{21}-\frac{1}{23}\right)\)
\(D=3.\left(\frac{1}{3}-\frac{1}{23}\right)\)
\(D=3.\frac{20}{69}\)
\(D=\frac{20}{23}\)
Học tốt
Bài làm
\(D=\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{21.23}\)
\(D=3.\left(\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{21.23}\right)\)
\(D=3.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{21}-\frac{1}{23}\right)\)
\(D=3.\left(\frac{1}{3}-\frac{1}{23}\right)\)
\(D=3.\frac{20}{69}\)
\(D=\frac{20}{23}\)
\(E=\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\)
\(E=10.\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+...+\frac{2}{53.55}\right)\)
\(E=10.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)\)
\(E=10.\left(\frac{1}{11}-\frac{1}{55}\right)\)
\(E=10.\frac{4}{55}\)
\(E=\frac{8}{11}\)
\(G=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{9900}\)
\(G=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{99.100}\)
\(G=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{99}-\frac{1}{100}\)
\(G=\frac{1}{1}-\frac{1}{100}\)
\(G=\frac{99}{100}\)
Nhớ k cho m nha
\(A=\frac{2}{6}\cdot\frac{12}{20}\cdot\frac{30}{42}\cdot\frac{56}{72}\cdot...\cdot\frac{9900}{101}\)
\(A=\frac{1}{3}\cdot\frac{3}{5}\cdot\frac{5}{7}\cdot\frac{7}{9}\cdot...\cdot\frac{9900}{101}\)
\(A=\frac{1\cdot3\cdot5\cdot7\cdot...\cdot9900}{3\cdot5\cdot7\cdot9\cdot...\cdot101}\)
Đến đây dễ rồi
a) 12 chia hết cho x và x < 0 nên x thuộc{-1;-2;-3;-4;-6;-12}
b) \(\hept{\begin{cases}-8⋮x\\12⋮x\end{cases}\Rightarrow x\inƯC\left(-8,12\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;8;-8;12;-12;24;-24\right\}}\)
c) \(\hept{\begin{cases}x⋮4\\x⋮-6\end{cases}\Rightarrow x\in BC\left(4,-6\right)=\left\{0;12;-12;24;-24;36;-36;...\right\}\left(1\right)}\)
MÀ -20<x<-10 (2)
Từ (1) và (2) suy ra \(x=-12\)
d) \(\hept{\begin{cases}x⋮-9\\x⋮12\end{cases}\Rightarrow x\in BC\left(-9,12\right)=\left\{0;36;-36;72;-72;...\right\}\left(1\right)}\)
MÀ 20<x<50 (2)
Từ (1) và (2) suy ra \(x\in\left\{36\right\}\)
a) 12-(10-19)
= 12 - -9
= 21
b (-27) - ( 13 -19 )
= -27--6
= -21
c) 14-(-15)-21
=29 -21
=8
d)(-27) +16-1
= -11-1
=-12
HT