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2, tính vế trc
\(\frac{1}{2}\left(\frac{2}{3.5}+\frac{2}{5.7}+......+\frac{2}{19.21}\right)=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+.....+\frac{1}{19}-\frac{1}{21}\right)=\frac{1}{2}\left(\frac{1}{3}-\frac{1}{21}\right)=\frac{1}{2}.\frac{2}{7}=\frac{1}{7}\)
=> 1/7 . x = 9/7
x = 9/7 . 7
x = 9
5) 327 - 48 - 152 + 173 =(327+173)-(48+152)=500-200=300
6) A = \(\frac{154+919+146+781}{823-217+533-139}=\frac{\left(154+146\right)+\left(919+781\right)}{1000}\)
=\(\frac{300+1700}{1000}=\frac{2000}{1000}=2\)
7) ( 1354 - 356 : 6 ) + 13,2=(1354\(-\frac{178}{3}\))+13,2=\(\frac{3884}{3}+13,2=\frac{19618}{15}\)
8) 784 . 0,5 : 0,28 - 196 : 28 + 2003=392:0,28-7+2003
=1400-7+2003=3396
1, A=\(\left(1+1+1+1\right)\)-\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}\right)\)
=4-\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}\right)\)
= 4-\(\left(\frac{1}{1}-\frac{1}{3}+...+\frac{1}{7}-\frac{1}{9}\right)\)
=4-\(\left(1-\frac{1}{9}\right)\)
= 4-\(\frac{8}{9}\)
= \(\frac{7}{9}\)
a, \(A=\frac{1}{10}+\frac{1}{40}+...+\frac{1}{340}\)
\(\Leftrightarrow A=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{17.20}\)
\(\Leftrightarrow A=\frac{1}{3}\left(\frac{3}{2.5}+\frac{3}{5.8}+....+\frac{3}{17.20}\right)\)
\(\Leftrightarrow A=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{20}\right)\)
\(\Leftrightarrow A=\frac{1}{6}-\frac{1}{60}=\frac{3}{20}\)
b, \(2004^{10}+2004^9=2004^9\left(2014+1\right)=2014^9+2005\)
\(2015^{10}=2015^9.2015\)
-Vậy: \(2004^{10}+2004^9< 2005^{10}\)
bằng hai đó bn k nha^_^