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Bài 1 :
Sửa để : \(N=\left(\dfrac{1}{4.9}+\dfrac{1}{9.14}+\dfrac{1}{14.19}+....+\dfrac{1}{44.49}\right)\cdot\dfrac{1-3-5-7-..-49}{89}\)
\(N=\dfrac{1}{5}\cdot\left(\dfrac{1}{4}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{19}+...+\dfrac{1}{44}-\dfrac{1}{49}\right)\cdot\dfrac{1-\left(3+5+7+..+49\right)}{89}\)
\(N=\dfrac{1}{5}\cdot\left(\dfrac{1}{4}-\dfrac{1}{49}\right)\cdot\dfrac{1-624}{89}\)
\(N=\dfrac{1}{5}\cdot\dfrac{45}{196}\cdot\dfrac{-623}{89}\)
\(\Rightarrow N=\dfrac{9}{196}\cdot-7=\dfrac{-9}{28}\)
\(A=3^2.3^{k+1}+3^{k+1}+2^2.2^{k+1}+2.2^{k+1}\)\(=3^{k+1}\left(3^3+1\right)+2^{k+1}\left(2^2+2\right)\)
\(A=28.3^{k+1}+6.2^{k+1}\)\(=6.\left(14.3^k+2^{k+1}\right)\) chia hết cho 6
3k+3 +3k+1+2k+3+2k+2=3k.9+3k.3+2k.8+2k.4=3k.12+2k.12=(3k+2K)12 chia het 6
a, \(x=2\)
\(\Rightarrow x=2\)
\(b,|x-1|=2x\)
\(\Rightarrow\orbr{\begin{cases}x-1=2.\left(-x\right)\\x-1=2x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-\left[2.\left(-x\right)\right]=1\\x-2x=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x\left(1+2\right)=1\\x\left(1-2\right)=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=1\\-1x=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1:3\\x=1:\left(-1\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=-1\end{cases}}\)
k cho mk nhe linh ni
1+1=11
1+2=12
3+4=34
2+89=289