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\(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)..\left(1+\frac{1}{2019}\right)\)
\(=\frac{3}{2}\cdot\frac{4}{3}\cdot...\cdot\frac{2020}{2019}\)
\(=\frac{2020}{2}=1010\)
\(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)...\left(1+\frac{1}{2019}\right)\)
\(=\frac{3}{2}\cdot\frac{4}{3}\cdot...\cdot\frac{2020}{2019}\)
\(=\frac{2020}{2}\)
\(=1010\)
1+1+1+11+1+1+1+1+1+1+11+1+1+1+1+111+111+1+1+1+11+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+11111111+1111+1+1+1+1+1+1+1+111+1= 11112649
\(A=\frac{1\times111+2\times110+3\times109+...+111\times1}{1+\left(1+2\right)+\left(1+2+3\right)+...+\left(1+2+3+...+111\right)}\)
\(A=\frac{1\times111+2\times110+3\times109+...+111\times1}{\left(1+1+...+1\right)+\left(2+2+...+2\right)+...+111}\)(\(111\)số hạng \(1\), \(110\)số hạng \(2\),...)
\(A=\frac{1\times111+2\times110+3\times109+...+111\times1}{1\times111+2\times110+3\times109+...+111\times1}\)
\(A=1\)
1+1.1+1+1+1+1+1+111= 118
1+1.1+1+1+1+1+1+111=118
**** nha