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Thay a=1;m=-123 vào biểu thức,ta được:
1-(-123)+7-8+(-123)
=124+7-8+(-123)
=131-8+(-123)
=123+(-123)
=0
Ta có: \(A=\dfrac{2019}{1\cdot2}+\dfrac{2019}{2\cdot3}+\dfrac{2019}{3\cdot4}+...+\dfrac{2019}{2018\cdot2019}\)
\(=2019\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{2018\cdot2019}\right)\)
\(=2019\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2018}-\dfrac{1}{2019}\right)\)
\(=2019\left(1-\dfrac{1}{2019}\right)\)
\(=2019\cdot\dfrac{2018}{2019}=2018\)
A=2019(1/1.2+1/2.3+1/3.4+........+1/2018.2019)
A= 2019(1-1/2+1/2-1/3+1/3-......+1/2018-1/2019)
A=2019(1-1/2019)
A=2019.2018/2019
A=2018
=21 .[ 2232 : 8 - 180 ] + 21
=21.99 +21
=2100
\(21\cdot\left[\left(1245+987\right):2^3-15\cdot12\right]+21\)
\(=21\left(279-180+1\right)\)
\(=21\cdot100=2100\)
241/210
A = \(\dfrac{3}{2}-\dfrac{5}{6}+\dfrac{7}{12}-\dfrac{9}{20}+\dfrac{11}{30}-\dfrac{13}{42}+\dfrac{15}{56}-\dfrac{17}{72}+\dfrac{19}{90}\)
A \(=\dfrac{3}{1\cdot2}-\dfrac{5}{2\cdot3}+\dfrac{7}{3\cdot4}-\dfrac{9}{4\cdot5}+\dfrac{11}{5\cdot6}-\dfrac{13}{6\cdot7}+\dfrac{15}{7\cdot8}-\dfrac{17}{8\cdot9}+\dfrac{19}{9\cdot10}\)
A
\(=\left(1+\dfrac{1}{2}\right)+\left(\dfrac{1}{2}+\dfrac{2}{3}\right)+\left(\dfrac{1}{3}+\dfrac{3}{4}\right)+\left(\dfrac{1}{4}+\dfrac{1}{5}\right)+\left(\dfrac{1}{5}+\dfrac{1}{6}\right)+\left(\dfrac{1}{6}+\dfrac{1}{7}\right)+\left(\dfrac{1}{7}+\dfrac{7}{8}\right)+\left(\dfrac{1}{8}+\dfrac{1}{9}\right)+\left(\dfrac{1}{9}+\dfrac{1}{10}\right)\)
\(A=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\)
A = \(1-\dfrac{1}{10}=\dfrac{9}{10}\)