Các câu hỏi tương tự
\(\frac{\left(2.4.6.....2016\right).\left(2.4.6.....2016\right)}{\left(1.3.5.....2015\right).\left(3.5.7.....2017\right)}\) rút gọn bằng gì vậy?
\(\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}+1\right)\left(\frac{2105}{2016}+\frac{2016}{2017}+\frac{7}{22}\right)-\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}\right)\left(\frac{2015}{2016}+\frac{2016}{2017}+\frac{7}{22}+1\right)\)
1. \(B=\frac{12}{\left(2.4\right)^2}+\frac{20}{\left(4.6\right)^2}+...+\frac{388}{\left(96.98\right)^2}+\frac{396}{\left(98.100\right)^2}\)
So sánh \(B\) với \(\frac{1}{4}\)
2. SO sánh \(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\) và \(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(A=-\frac{1}{2}\left(17,5-7,5\right)-\frac{2015}{2016}\left(2018-2\right)\)
=> \(A=-\frac{1}{2}\left(10\right)-\frac{2015}{2016}\left(2016\right)=-5-2015=-2020\)
Tính tích:
\(A=\left(1-\frac{1}{2016}\right)\left(1-\frac{2}{2016}\right)\left(1-\frac{3}{2016}\right)...\left(1-\frac{2017}{2016}\right)\)
R = \(\left\{2015-2016^0.\left[2^3.5-\left(-1\right)^{2016}.\frac{1}{2^{19}}.\left(2.5^2-2^4.3\right)^{20}\right]\right\}-10^3\)
Tính A = \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\)
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{2}{3}\right)...\left(1-\frac{2015}{2016}\right)\)
Tính các tổng sau
\(a,S=1+\left(-2\right)+3+\left(-4\right)+...+\left(-2014\right)+2015\)
\(b,S=\left(-2\right)+4+\left(-6\right)+8+...+\left(-2014\right)+2016\)
\(c,S=1+\left(-3\right)+5+\left(-7\right)+...+2013+\left(-2015\right)\)
\(d,S=\left(-2015\right)+\left(-2014\right)+\left(-2013\right)+...+2015+2016\)