作业帮(1/2+1/3+...1/2009)(1+1/2+1/3+...1/2008)-(1+1/2+1/2009)(1/2+1/3+...+1/2008)答案等于多少?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 22:47:51
(1/2+1/3+...1/2009)(1+1/2+1/3+...1/2008)-(1+1/2+1/2009)(1/2+1/3+...+1/2008)答案等于多少?
(1/2+1/3+...1/2009)(1+1/2+1/3+...1/2008)-(1+1/2+1/2009)(1/2+1/3+...+1/2008)答案等于多少?
(1/2+1/3+...1/2009)(1+1/2+1/3+...1/2008)-(1+1/2+1/2009)(1/2+1/3+...+1/2008)答案等于多少?
令a=1/2+1/3+...+1/2008
则原式=(a+1/2009)(1+a)-(1+a+1/2009)a
=a(1+a)+1/2009(1+a)-a(1-a)-1/2009a
=1/2009(1+a)-1/2009a
=1/2009+1/2009a-1/2009a
=1/2009
1/2+1/3+...+1/2008=t
原式=(t+1/2009)(1+t)-(1+t+1/2009)(t)
=1/2009
令A=1/2+1/3+...1/2009，令B=1/2+1/3+...+1/2008；
原式=A（1+B）-（1+A）B=A-B=1/2009
1/2009+2/2009+3/2009+.+2008/2009=?
1/2009+2/2009-3/2009-4/2009+5/2009+6/2009-7/2009-8/2009+9/2009+10/2009-...-1999/2009-2000/2009+2001/2009+2002/2009
1/(1*1+1)+1/(2*2+2)+1/(3*3+3)+……1/(2009*2009+2009) 答案是
1+2+3,+2009=?
1/2009+2/2009+3/2009+.+2008/2009=?1/2+1/4+1/8+1/16+.+1/1024=?
｜1/2-1｜+｜1/3-1/2｜+1/4-1/3｜+...｜1/2009-1/2008｜+｜1/2010-1/2009｜=?
1/1*2+1/2*3+...+1/2008*2009=
计算 |1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/3-1/2|+|1/2-1|计算 |1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/3-1/2|+|1/2-1|
1.2009/1+2009/2+2009/3+.2009/2008= 2.2/1+4/1+8/1+16/1+.+1024/1=2009/1+2009/2+2009/3+.2009/2008= 2/1+4/1+8/1+16/1+.+1024/1=
(1-1/2^2)(1-1/3^2)(1-1/4^2).(1-1/2009^2),
|1/2011-1/2010|+|1/2011-1/2009|+|1/2009-1/2008|+...+|1/3-1/2|+|1/2-1|
(2011/1-1)(2010/1-1)(2009/1-1)…(3/1-1)(2/1-1)
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)尽快.
计算：|2/1-1|+|3/1-2/1|+|4/1-3/1|.+|2010/1-2009/1|?
(1/2+1/3+...+1/2009)(1+1/2+1/3+...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...1/2008)
(1/2+1/3+...1/2009)(1+1/2+1/3+...1/2008)-(1+1/2+1/2009)(1/2+1/3+...+1/2008)答案等于多少?
小学数学1/2009+2/2009+3/2009加到2007/2009+2008/2009怎样计算
1/2009+2/2009+3/2009+.2007/2009+2008/2009等于多少