Tính A/ B biết
A= 2008+ 2007/2 + 2006/3 + 2005/4+....+ 2/2007+ 1/2008 ; B = 1/2+1/3+1/4+1/5+....1/2008+1/2009
A=2008+2007/2+2006/3+2005/4+......+2/2007+1/2008 tất cả trên 1/2+1/3+1/4+1/5+......+1/2008+1/2009
\(B=2008+\frac{2007}{2}+\frac{2006}{3}+\frac{2005}{4}+...+\frac{2}{2007}+\frac{1}{2008}\)
\(=1+1+\frac{2007}{2}+1+\frac{2006}{3}+...+1+\frac{1}{2008}\)
\(=\frac{2009}{2009}+\frac{2009}{2}+\frac{2009}{3}+...+\frac{2009}{2008}\)
\(=2009\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2008}+\frac{1}{2009}\right)\)
Suy ra \(A=2009\).
Tính tỉ số B A , biết: 2008 1 2007 2 ... 3 2006 2 2007 1 2008 2009 1 2008 1 2007 1 ... 4 1 3 1 2 1 = + + + + + = + + + + + + B A
2008+2007/2+2006/3+2005/4+2005/5+........................3/2006+2/2007+1/2008
1/2+1/3+1/4+1/5+....................+1/2009
2008-1/2008=2007/2008
1/2-1/2009=2007/2009
2008+2007/2+2006/3+2005/4+2005/5+........................3/2006+2/2007+1/2008
1/2+1/3+1/4+1/5+....................+1/2009
Tính tỉ số a/b, biết :
A=1/2+1/3+1/4+1/5+.....+1/2008+1/2009
B=2008/1+2007/2+2006/3+....+2/2007+1/2008
Tính tỉ số a/b, biết :
A=1/2+1/3+1/4+1/5+.....+1/2008+1/2009
B=2008/1+2007/2+2006/3+....+2/2007+1/2008
giải dùm mk với. chiều ni mk thi học kì. bài cuối sợ là bài này lắm
A =2008 + 2007/2 + 2006/3 + 2005/4 +.......+ 2/2007 + 1/2008
1/2 + 1/3 + 1/4 + 1/5 +....+ 1/2008 + 1/2009
Tính tỉ số A/B biết:
A=1/2+1/3+1/4+...+1/2007+1/2008+1/2009
B=2008/1+2007/2+2006/3+...+2/2007+1/2008
*A/B là phân số.
Giá trị biểu thức A =
2008+2007/2+2006/3+2005/4+...+2/2007+1/2008
1/2+1/3+1/4+1/5+...+1/2008+1/2009
Tìm A