tinh B=(2016/1000+2016/999+2016/998+...+2016/501)/(-1/1.2+-1/3.4+-1/5.6+...+-1/999.1000)
tinh B=(2016/1000 2016/999 2016/998 ... 2016/501)/(-1/1.2 -1/3.4 -1/5.6 ... -1/999.1000)
tính B=(2016/1000+2016/999+2016/998+...+2016/501)/(-1/1*2+/-1/3*4+-1/5*6+...+-1/999*1000)
\(B=\frac{\frac{2016}{1000}+\frac{2016}{999}+\frac{2016}{998}+.....+\frac{2016}{501}}{\frac{-1}{1\cdot2}-\frac{1}{3\cdot4}-\frac{1}{5\cdot6}-.....-\frac{1}{999\cdot1000}}\)
(2016/1000+2016/999+...+2016/501)
CM:
1/1.2 + 1/3.4 + 1/5.6 + ...+ 1/2015.2016 = 1/1009 + 1/1010 + ... + 1/2016
Cho A=\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}.....+\frac{1}{2013.2014}\)và B=\(\frac{1}{2016}+\frac{1}{2018}+\frac{1}{2020}+....+\frac{1}{4028}\)
Tính \(\frac{A}{B}\)
Cho \(M=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+..+\frac{1}{99.100}\)
\(N=\frac{2016}{51}+\frac{2016}{52}+...+\frac{2016}{100}\)
CMR; N chia hết cho M
Cho P(x) = x^2019- 1000x^2018 + 1000x^2017- 1000x^2016 +...+ 1000 x - 1.Tính P(999).
