(1-1/2+1/3-1/4...+1/2007-1/2008)÷(1/1005+1/1006+1/1007+...+1/2008)等于多少?
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(1-1/2+1/3-1/4...+1/2007-1/2008)÷(1/1005+1/1006+1/1007+...+1/2008)等于多少?(1-1/2+1/3-1/4...+1/2007-1/20
(1-1/2+1/3-1/4...+1/2007-1/2008)÷(1/1005+1/1006+1/1007+...+1/2008)等于多少?
(1-1/2+1/3-1/4...+1/2007-1/2008)÷(1/1005+1/1006+1/1007+...+1/2008)等于多少?
(1-1/2+1/3-1/4...+1/2007-1/2008)÷(1/1005+1/1006+1/1007+...+1/2008)等于多少?
(361/521)*(361/521)=1我是用电子表格运算得出的
0
25-24=1
你很牛逼 我不会
用数学归纳法可以解决,1-1/2+1/3-1/4=1/3+1/4是第一项
∵(1-1/2+1/3-1/4+1/5-…+1/2007-1/2008)
=(1+1/2+1/3+1/4+1/5-…+1/2007+1/2008)-2×(1/2+1/4+1/6+…+1/2008)
=1+1/2+1/3+1/4+1/5-…+1/2007+1/2008-1-1/2-1/3-1/4-…-1/1004
∴原式=(1/1005+1/1006+…+1/2008)÷(1/1005+1/1006+…+1/2008)
=1
1+2+3+4.
1+2+3+4.
1+1+2+3+4.+99
1+2+3+4.=1/12?
1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4...+992+1分之1加1+2+3/1这样
1+2+3+4.+1000
1+2+3+4.+101
1+2+3+4..100000000
1+2+3+4.=
1/1*2+1/2*3+1/3*4.+1/2011*2012+1/2012*2013
1/1*2+1/2*3+1/3*4...+1/99*100+1/(2011*2012)
(1-1/2-1/3-1/4..-1/2004)*(1+1/2+1/3+1/4+...+1/2005)-(1-1/2-1/3-1/4-...-1/2005)*(1+1/2+1/3+1/4+...+1/2004)
(1-1/2+1/3-1/4.+1/1997-1/1998+1/1999)/[1/(1+1999)+1/(2+2000)+1/(3+2001).+1/(999+2997)+1/(1000+2998)]
(1)计算1/1*2+1/2*3+1/3+4.+1/99*100 (2)1/1*3+1/3*5+1/5*7.+1/49*51
1/1*2+1/2*3+1/3*4...1/19*20=?
1/1乘2+1/2乘3+1/3乘4.+1/199乘200
1/1*2+1/2*3+1/3*4.+1/2003*2004
1/1×2+1/2×3+1/3×4...+1/2006×2007=?