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I=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
I=1-1/2010
I=2009/2010
Vậy I=2009/2010
I = 1/1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
I = 1-1/2010
I = 2009/2010
Chúc bạn học tốt nha
\(I=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2009}-\frac{1}{2010}\)
\(I=1-\frac{1}{2010}\)
\(I=\frac{2009}{2010}\)
= 1 - 1/2 . 1/2 -1/3 . 1/3 - 1/4 ... 1/2009 - 1/2010
= 1 - 1/ 2010
=1/2010
1/1.2+1/2.3+1/3.4+...+1/2009.2010
=1-1/2+1/2-1/3+...+1/2009-1/2010
=1-1/2010
=2009/2010
=1 - 1/2 + 1/2 - 1/3 + ..... + 1/2009 - 1/2010
=1 - 1/2010
=2009/2010
1-1/2+1/2-1/3+1/3-1/4+... +1/2009-1/2010
1-1/2010=2009/2010
1/1.2+1/2.3+...+1/2009.2010
=1-1/2+1/2-1/3+...+1/2009-1/2010
=1-1/2010
=2009/2010
M=1.2+2.3+3.4+...+2009.2010
3M = 1.2.3 + 2.3.3 + 3.4.3 + ... + 2009.2010.3
3M = 1.2.3 + 2.3.(4-1 ) + 3.4.(5-2) + ... + 2009.2010.(2011-2008)
3M = 1.2.3 + 2.3.4 - 1.2.3 +3.4.5 - 2.3.4 + ... + 2009.2010.2011 - 2008.2009.2010
3M = 2009.2010.2011
=> M = 2009.2010.2011 : 3
=> M = 2706866330
=1-1/2+1/2-1/3+1/3+1/4+.....+1/2009-1/2010
=1-1/2010
=-1/2009
lâu lằm k làm mấy bài kiểu nay... đúng k bạn ơi?????^-^
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+......+\frac{1}{2009}-\frac{1}{2010}\)
\(=1-\frac{1}{2010}=\frac{2009}{2010}\)
\(A=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+....+\frac{1}{2009\cdot2010}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2009}-\frac{1}{2010}\)
\(A=1-\frac{1}{2010}\)
\(A=\frac{2009}{2010}\)
\(I=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{2009.2010}\)
\(I=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2009}-\frac{1}{2010}\)
\(I=1-\left(\frac{1}{2}-\frac{1}{2}\right)+\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{1}{4}-\frac{1}{4}\right)+.....+\left(\frac{1}{2009}-\frac{1}{2009}\right)-\frac{1}{2010}\)
\(I=1-0-0-...-0-\frac{1}{2010}\)
\(I=1-\frac{1}{2010}=\frac{2009}{2010}\)
I = 1/1.2 + 1/2.3 + 1/3.4 + ... + 1/2009.2010
I = 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/2009 - 1/2010
I = 1 - 1/2010
I = 2009/2010
Vậy I = 2009/2010