Trong các phân số: -1/2014; 1/-2015; -1/-2016; 1/2017 phân số nhỏ nhất là:
A) -1/2014 B) 1/-2015 C) -1/-2016 D)1/2017
\(A=\dfrac{2016^2+1^2}{2016\cdot1}+\dfrac{2015^2+2^2}{2015\cdot1}+\dfrac{2014^2+3^2}{2014\cdot3}+...+\dfrac{1009^2+1008^2}{1009\cdot1008}\)
và \(B=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2017}\)Tìm A/B
Cho A= \(\frac{2014}{2015}+\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2014}.\). So sánh A với 4
Chứng minh
\(Â=\dfrac{2013}{2013+2014}+\dfrac{2014}{2014+2015}+\dfrac{2015}{2015+2016}+\dfrac{2016}{2016+2017}< 2\)
So sánh: (20142014 + 1) / (20142015+ 1) , (20142015 + 1) / (20142016 + 1)
A=\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2015}-\frac{1}{2016}+\frac{1}{2017}\)
B=\(\frac{1}{1009}+\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2016}+\frac{1}{2017}\)
tính (A-B)^2017
8.Find the value of 1+2+3+4+5+...+2016+2017+2016+2015+...+3+2+1.
A=\(\dfrac{100^{2015}+1}{100^{2016}+1}\)
B=\(\dfrac{100^{2016}+1}{100^{2017}+1}\)
So sánh A và b
2018-2017+2016-2015+.....+2-1