Cho \(A=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2017};B=\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{1}{2016}\).CMR B/A là số nguyên
a)A=\(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}}{\frac{2011}{1}+\frac{2010}{2}+\frac{2009}{3}+...+\frac{1}{2011}}\)
b)A =\(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2016}+\frac{1}{2017}\)và B = \(\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{2}{2015}+\frac{3}{2016}\)
Tính \(\frac{B}{A}\)
Thực hiện phép tính:
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}+\frac{1}{2017}}{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{2}{2015}+\frac{1}{2016}}\)
Cho A= \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2016}+\frac{1}{2017}\)
B =\(\frac{2016}{1}+\frac{2015}{2}+....+\frac{2}{2015}+\frac{1}{2016}\)
Tinh \(\frac{B}{A}\)giai ra giup minh voi
So Sanh Hai Phan So Sau:
\(A=\frac{2014}{2015}-\frac{2015}{2016}+\frac{2016}{2017}-\frac{2017}{2018}\) VA \(B=-\frac{1}{2014.2015}-\frac{1}{2016.2017}\)
Thực hiện phép tính:
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}...+\frac{1}{2016}+\frac{1}{2017}}{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+...+\frac{2}{2015}+\frac{1}{2016}}\)
đang cần rất gấp mọi người ạ :3
#thanks nhieeuf2 .
\(B=\frac{\frac{2016}{1}+\frac{2015}{2}+...+\frac{1}{2015}+\frac{1}{2016}}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2017}}\)
Câu 1:Rút gọn các biểu thức:
A=\(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{97.99}-\frac{5}{4}.\frac{13}{99}+\frac{5}{99}.\frac{1}{4}\)
Câu 2: So sánh:
A=\(\frac{2013}{2014}+\frac{2016}{2015}\)và \(\frac{2014}{2015}+\frac{2017}{2016}\)
Câu 3: Cho f(x)=ax2+bx+c. Biết 7a+b=0. Chứng minh rằng: f(10).f(-3)\(\ge\)0
Thực hiện phép tính :
a)A=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+..........+\frac{1}{2017}}{2017+\frac{2016}{2}+\frac{2015}{3}+.............\frac{1}{2016}}\)
b)B=\(\frac{-1^2}{1.2}.\frac{-2^2}{2.3}+..........+\frac{-100^2}{100.101}.\frac{-101^2}{101.102}\)
Giúp mình vs