Minh Tú sét boi
Giới thiệu về bản thân
\(Bài\text{ }giải\)
\(Tổng\text{ }của\text{ }cả\text{ }4\text{ }số\text{ }hạng\text{ }là:120\text{×}4=480\)
\(Tổng\text{ }3\text{ }số\text{ }hạng\text{ }đầu\text{ }là:78\text{×}3=234\)
\(Số\text{ }hạng\text{ }thứ\text{ }4\text{ }là:480-234=246\)
\(Tổng\text{ }3\text{ }số\text{ }hạng\text{ }cuối\text{ }là:96\text{×}3=288\)
\(Trung\text{ }bình\text{ }cộng\text{ }của\text{ }số\text{ }thứ\text{ }hạng\text{ }2\text{ }và\text{ }3\text{ }là:\left(288-246\right):2=21\)
\(\dfrac{x}{7}=\dfrac{5}{6}\Rightarrow x=\dfrac{7\cdot5}{6}=\dfrac{35}{6}\\ Vậy\text{ }x=\dfrac{35}{6}\)
\(\left(\dfrac{1}{2}\right)^{12}=\left(\dfrac{1}{8}\right)^3\\ \left(\dfrac{1}{3}\right)^9=\left(\dfrac{1}{27}\right)^3\\ Ta\text{ }có:\dfrac{1}{8}>\dfrac{1}{27}\\ Vậy:\left(\dfrac{1}{2}\right)^{12}>\left(\dfrac{1}{3}\right)^9\)
\(17=0+1+2+3+4+7\\ \Rightarrow Số\text{ }cần\text{ }tìm\text{ }là:743210\)
\(\dfrac{5\cdot6+5\cdot7}{5\cdot8+20}=\dfrac{5\cdot6+5\cdot7}{5\cdot4\cdot2+5\cdot4}=\dfrac{5\cdot\left(6+7\right)}{5\cdot4\cdot\left(2+1\right)}=\dfrac{5\cdot13}{5\cdot4\cdot3}=\dfrac{13}{4\cdot3}=\dfrac{13}{12}\)
\(Theo\text{ }bài\text{ }ra:2a=3b=4c\\ \Rightarrow\dfrac{2a}{12}=\dfrac{3b}{12}=\dfrac{4c}{12}\\ \Rightarrow\dfrac{a}{6}=\dfrac{b}{4}=\dfrac{c}{3}\\ \RightarrowĐặt\text{ }\dfrac{a}{6}=\dfrac{b}{4}=\dfrac{c}{3}=k\\ \Rightarrow\left\{{}\begin{matrix}a=6k\\b=4k\\c=3k\end{matrix}\right.\\ Khi\text{ }đó\dfrac{a-b+c}{a+2b-c}=\dfrac{6k-4k+3k}{6k+8k-3k}=\dfrac{5k}{11}=\dfrac{5}{11}\\ Vậy:A=\dfrac{5}{11}.\)
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