\(B=\left(\dfrac{1}{2015}+1\right)+\left(\dfrac{2}{2014}+1\right)+...+\left(\dfrac{2014}{2}+1\right)+1\)
\(=\dfrac{2016}{2015}+\dfrac{2016}{2014}+...+\dfrac{2016}{2}+\dfrac{2016}{2016}\)
\(=2016\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2014}+\dfrac{1}{2015}+\dfrac{1}{2016}\right)=2016\cdot A\)
=>A/B=1/2016
1) CMR : A=(n+2015)(n+2016) + n2 + n chia hết cho 2 với n ϵ N
2) So sánh :
P = \(\frac{2013}{2014^{2013}}+\frac{2014}{2015^{2014}}+\frac{2015}{2016^{2015}}+\frac{2016}{2017^{2016}}\) và
Q = \(\frac{2014}{2017^{2016}}+\frac{2013}{2016^{2015}}+\frac{2016}{2015^{2014}}+\frac{2015}{2014^{2013}}\)
1.So sánh:
\(\frac{2014}{2015}+\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2014}\) và \(4\)
2. Tính :
\(\left(1-\frac{1}{2}+\frac{1}{3}+\frac{1}{2015}-\frac{1}{2016}\right):\left(\frac{1}{1009}+\frac{1}{1010}+...+\frac{1}{2016}\right)\)
a)\(\left(x^2-49\right)\left(x^2-81\right)< o\)
b)\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2015}+\frac{1}{2016}\right).x=\frac{2015}{1}+\frac{2014}{2}+\frac{2013}{3}+...+\frac{2}{2014}+\frac{1}{2015}\)
giúp mk với, mai thi rồi, mk sẽ tích
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}}{\frac{2016}{1}+\frac{2015}{2}+....+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn nha mọi người
So sánh A và B
a) A = \(\frac{10^{11}-1}{10^{12}-1}\) Và \(B=\frac{10^{10}+1}{10^{11}+1}\)
b) \(A=\frac{2000^{2015}+1}{2000^{2016}+1}\) Và \(B=\frac{2000^{2014}+1}{2000^{2015}+1}\)
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{2006}}{\frac{2016}{1}+\frac{2015}{2}+.......+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn
thầy cô giúp em giải bài này với ạ
Tìm tỉ số \(\frac{A}{B}\)biết
a,\(A=\frac{4}{7.31}+\frac{6}{7.41}+\frac{9}{10.41}+\frac{7}{10.57}\)
\(B=\frac{7}{19.31}+\frac{5}{19.43}+\frac{3}{23.43}+\frac{11}{23.57}\)
b,\(A=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2017}\)
\(B=\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{1}{2016}\)
GIẢI RÕ NHA ! NHANH NHANH MÌNH CẦN GẤP !+_+
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+................+\frac{1}{2006}}{\frac{2016}{1}+\frac{2016}{2}+...........+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn nha mọi người
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+................+\frac{1}{2006}}{\frac{2016}{1}+\frac{2016}{2}+...........+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn nha mọi người
