\(A=\frac{2010}{2}+\frac{2010}{6}+...+\frac{2010}{9900}\)
\(=2010.\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{9900}\right)\)
\(=2010.\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\right)\)
\(=2010.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)=2010.\left(1-\frac{1}{100}\right)=2010.\frac{99}{100}\)
\(=\frac{19899}{10}\)
\(\frac{2010}{2}+\frac{2010}{6}+\frac{2010}{12}+.....+\frac{2010}{9900}\)
TÍNH TỔNG
Choa,b,c,d khác 0:
\(\frac{x^{2010}+y^{2010}z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
Tính\(T=x^{2010}+y^{2010}+z^{2010}+t^{2010}\)
Rút gọn
A=\(\frac{3^{2010}-6^{2010}+9^{2010}-12^{2010}+15^{2010}-18^{2010}}{1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
tính A=2010/2+2010/6+2010/12+....+2010/9900
Cho các số a,b,c,d khác 0 . Tính
T=x^2011+y^2011+z^2011+t^2011
Biết \(\frac{x^{2010}+y^{2010}+z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
rút gọn biểu thức: P=\(\frac{3^{2010}-6^{2010}+9^{2010}-12^{2010}+15^{2010}-18^{2010}}{-1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
tính \(2009-\frac{2010}{3}-\frac{2010}{6}-\frac{2010}{15}-\cdot\cdot\cdot-\frac{2010}{45}\)
Cho a,b,c,d khac 0. Tính x2011+y2011+z2011+t2011
Biết :\(\frac{x^{2010}+y^{2010}+z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
Cho a,b,c,d khác 0.tính T=\(x^{2011}+y^{2011}+z^{2011}+t^{2011}\)
biết x,y,z,t thoả mãn \(\frac{x^{2010}+y^{2010}+z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
