已知：字母a,b满足√a-1+√b-2=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)
问题描述：
已知：字母a,b满足√a-1+√b-2=0,求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)
答
1/2+1/2-1/3+1/3-1/4……+1/2009-1/2010=2009/2010
答
1-1/2+1/2-1/3+...1/2008-1/2009+1/2009-1/2010=1-1/2010=2009/2010
答
a=1 b=2 1-1/2+1/2-1/3+................1/2008-1/2009+1/2009-1/2010=1-1/2010=2009/2010
答
谁能帮我找到18道初二的数学找规律题要有答案、不要太难的哦谢谢了最好给规律：1/(x-n)-1/[x-(n+1)]=1/[x-(n+3)]-1/[x-(n+4)]
答
a=1 b=2 1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+.1/(a+2008)(b+2008)=1-1/2+1/2-1/3+.1/2008-1/2009+1/2009-1/2010=1-1/2010=2009/2010
答
a=1，b=2
就是1/2+1/2-1/3+1/3-1/4……+1/2009-1/2010=2009/2010