1+2018+2*2017+3*2016+..........................+2016*3+2017+2+2018*1
1+(1+2)+(1+2+3)+..........................(1+2+3+...............+2017+2018
Find K such that: K-2006=1+(1+2+3)+ ...(1+...+2007) / 2017*1+2016*2+2015*3+...+2*2016+1*2017
Tính nhanh : \(\frac{2017+\frac{1}{2016}+\frac{2}{2015}+\frac{3}{2014}+...+\frac{2015}{2}+\frac{2016}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2015}+\frac{1}{2016}}\)
Tính M , biết :
\(M=1+\frac{1}{2}\times\left(1+2\right)+\frac{1}{3}\times\left(1+2+3\right)+\frac{1}{4}\times\left(1+2+3+4\right)+...+\frac{1}{2016}\times\left(1+2+3+4+...+2015+2016\right).\)
tính tổng sau 1/1*2 + 1/2*3 + 1/3*4 + ... + 1/2016*2017 +1
[ 1-1/2 ]* [1-2/3 ]* ..............* [1-1/2015]* [1-1/2016]
\(\frac{1}{1+2}+\frac{1}{1+2+3}+.......+\frac{1}{1+2+3+.......+2016+2017}\)
Tính:
\(B=\frac{2.2016}{1+\frac{1}{1+2}+\frac{1}{1+2+3}+\frac{1}{1+2+3+4}+...+\frac{1}{1+2+3+..+2016}}\)
A= 1+2+3+...+2016
B=1+3+5+...+2017
C=1*2+2*3+3*4+...+10*11
D=1*1+2*2+3*3+...+10*10