\(\frac{2}{4\cdot7}-\frac{2}{5\cdot9}+\frac{2}{7\cdot10}-\frac{2}{9\cdot13}+\frac{2}{10\cdot13}-\frac{2}{13\cdot17}+...+\frac{2}{301\cdot304}-\frac{2}{401\cdot405}CM:tich,tren,< \frac{1}{15}\)
so sánh a và b biết \(A=\frac{11\cdot13\cdot15+33\cdot39\cdot45+55\cdot65\cdot75+99\cdot117\cdot135}{11\cdot13\cdot17+39\cdot45\cdot51+65\cdot75\cdot85+117\cdot135\cdot153}:B=\frac{1111}{1717}\)
\(\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}+1\right)\left(\frac{2105}{2016}+\frac{2016}{2017}+\frac{7}{22}\right)-\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}\right)\left(\frac{2015}{2016}+\frac{2016}{2017}+\frac{7}{22}+1\right)\)
So sánh 2 phân số sau\(\frac{2014+2015+2016}{2015+2016+2017}\) và \(\frac{2014}{2015}+\frac{2015}{2016}+\frac{2016}{2017}\)
Cho A=\(\frac{2014}{2014+2015}+\frac{2015}{2015+2016}+\frac{2016}{2016+2014}\)
CM A không là số tự nhiên
so sánh P và Q
\(P=\frac{2014}{2015}+\frac{2015}{2016}+\frac{2016}{2017}\)
\(Q=\frac{2014+2015+2016}{2015+2016+2017}\)
so sánh:
a) A=\(\frac{2015^{2016}+1}{2015^{2017}+1}\)và B=\(\frac{2015^{2015}+1}{2015^{2016}+1}\)
So sánh \(A=\frac{2014}{2015}+\frac{2015}{2016}\)với \(y=\frac{\frac{2014}{2015}}{\frac{2015}{2016}}\)
Tính bằng phương pháp hợp lí
a> C = \(\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}+...+\frac{3}{73\cdot76}\) b> D = \(\frac{5}{10\cdot11}+\frac{5}{11\cdot12}+\frac{5}{12\cdot13}+...+\frac{5}{99\cdot100}\)
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