Tìm x biết
\(\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2015}+\dfrac{1}{2016}\right)x=\dfrac{2015}{1}+\dfrac{2014}{2}+...+\dfrac{2}{2014}+\dfrac{1}{2015}\)
\(Cho\) \(S=1-\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-...+\dfrac{1}{2013}-\dfrac{1}{2014}+\dfrac{1}{2015}\)
\(B=\dfrac{1}{1008}+\dfrac{1}{1009}+\dfrac{1}{1010}+...+\dfrac{1}{2014}+\dfrac{1}{2015}\)
Tính (S - B)2016
Tính :
\(\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2014}+\dfrac{1}{2015}\)
Tìm X \(\dfrac{x-1}{2017}+\dfrac{x-2}{2016}=\dfrac{x-3}{2015}+\dfrac{x-4}{2014}\)
Tìm x , biết ;
\(\dfrac{x+1}{2016}+\dfrac{x+2}{2015}=\dfrac{x+3}{2014}+\dfrac{x+4}{2013}\)
Cho 3 số a, b, c thỏa mãn : \(\dfrac{a}{2013}=\dfrac{b}{2014}=\dfrac{c}{2015}\)
Chứng minh \(4\left(a-b\right).\left(b-c\right)=\left(c-a\right)^2\)
Tìm x biết
a, \(\dfrac{x-2}{4}=\dfrac{-16}{2-x}\)
b,\(\dfrac{x+y}{2014}=\dfrac{xy}{2015}=\dfrac{x-y}{2016}\)
Tìm x, biết:
\(\dfrac{x-3}{2015}+\dfrac{x-4}{2014}+\dfrac{x-5}{2013}+\dfrac{x-6}{2012}=4\)
Tính: \(A=1+\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+............+\frac{2014}{2^{2014}}+\frac{2015}{2^{2015}}\)
