Các câu hỏi tương tự
Tính tổng S = \(2015+\frac{2015}{1+2}+\frac{2015}{1+2+3}+...+\frac{2015}{1+2+3+...+2016}\)
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+................+\frac{1}{2006}}{\frac{2016}{1}+\frac{2016}{2}+...........+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn nha mọi người
Tính tổng:
\(S=2015+\frac{2015}{1+2}+\frac{2015}{1+2+3}+....+\frac{2015}{1+2+3+...+2016}\)
Cho \(A=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+........-\frac{1}{2016};B=\frac{1}{1009}+\frac{1}{1010}+.........+\frac{1}{2016}\)
Tính \(\left(\frac{A}{B}\right)^{2015}\)
giúp mình nha !
\(\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}+1\right)\left(\frac{2105}{2016}+\frac{2016}{2017}+\frac{7}{22}\right)-\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}\right)\left(\frac{2015}{2016}+\frac{2016}{2017}+\frac{7}{22}+1\right)\)
TÍNH TỔNG S:\(1-\frac{1}{3}+\frac{1}{^{3^2}}-\frac{1}{3^3}+.......-\frac{1}{3^{2015}}+\frac{1}{3^{2016}}\)
Xem chi tiết
SO SÁNH:
A=\(\frac{\frac{2016}{1}+\frac{2015}{2}+\frac{2014}{3}+.....+\frac{2}{2015}+\frac{1}{2016}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{2016}+\frac{1}{2017}}\)
VÀ
B=2017
Chứng minh rằng :
\(\frac{2015}{4034}< \frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{2016^2}< \frac{2015}{2016}\)
Giúp vs ak
Tính :\(A=\frac{\frac{2015}{1}+\frac{2014}{2}+\frac{2013}{3}+...+\frac{1}{2015}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2016}}\)
Làm giúp mình với!!!