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vì 276 chia a dư 36 = > 312 chia hết cho a (1)
vì 453 chia a dư 21 => 474 chia hết cho a ( 2)
Từ (1) và (2) => a \(\inƯC\left(312;474\right)\)
Ta có :
312 = 2 . 151
474 = 2 . 3 . 79
=> ƯCLN(312;474) = 2
=> a \(\in\)Ư ( 2 ) = {\(\pm1;\pm2\)}
Vậy ..
Học tốt
2A=\(\frac{2}{1.2.3}\)+\(\frac{2}{2.3.4}\)+...+\(\frac{2}{18.19.20}\)
=1/1.2-1/2.3+1/2.3-1/3.4+...+1/18.19-1/19.20
=1/2-1/19.20
A=1/4-1/19.20.2
vậy A<1/4
Ta có: \(S=\dfrac{4}{1\cdot3}+\dfrac{16}{3\cdot5}+\dfrac{36}{5\cdot7}+...+\dfrac{2500}{49\cdot51}\)
\(=1+\dfrac{1}{1\cdot3}+1+\dfrac{1}{3\cdot5}+1+\dfrac{1}{5\cdot7}+...+1+\dfrac{1}{49\cdot51}\)
\(=25+\dfrac{1}{2}\cdot\left(\dfrac{2}{1\cdot3}+\dfrac{2}{3\cdot5}+\dfrac{2}{5\cdot7}+...+\dfrac{2}{49\cdot51}\right)\)
\(=25+\dfrac{1}{2}\cdot\left(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{49}-\dfrac{1}{51}\right)\)
\(=25+\dfrac{1}{2}\left(1-\dfrac{1}{51}\right)\)
\(=25+\dfrac{1}{2}\cdot\dfrac{50}{51}\)
\(=25+\dfrac{25}{51}\)
\(=25\cdot\dfrac{52}{51}=\dfrac{1300}{51}\)
1ab + 36 = ab1
=> 100 + 10a + b + 36 = 100a + 10b + 1
=> 100a - 10a + 10b - b = 100 + 36 - 1
=> 90a + 9b = 135
=> 9 ( 10a + b ) = 135
=> 10a + b = 15
=> a = 1 ; b = 5
\(\overline{1ab}+36=\overline{ab1}\)
\(\Rightarrow100+\overline{ab}+36=\overline{ab}.10+1\)
\(\Rightarrow\overline{ab}.10-\overline{ab}=100+36-1\)
\(\Rightarrow9.\overline{ab}=135\Rightarrow\overline{ab}=15\)
Ta có: \(36.17+36.54+64.71\)
\(=36.\left(17+54\right)+64.71\)
\(=36.71+64.71\)
\(=71.\left(36+64\right)\)
\(=71.100=7100\)
\(=36.\left(17+54\right)+64.71\)
\(=36.71+64.71\)
\(=\left(36+64\right).71\)
\(=100.71\)
\(=7100\)
\(k\) \(mk\) \(nha\)