要简算 2004×20022003 (115 +217 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)2004×(2002/2003) (1/15 +2/17 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100) 上面错了

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要简算 2004×20022003 (115 +217 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)2004×(2002/2003) (1/15 +2/17 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100) 上面错了
要简算
2004×20022003 (115 +217 )×15×17
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)
2004×(2002/2003) (1/15 +2/17 )×15×17
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)
上面错了

要简算 2004×20022003 (115 +217 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)2004×(2002/2003) (1/15 +2/17 )×15×17 1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100) 上面错了
2004×2002/2003=(20032-1)/2003=2003-1/2003=2002 20022003
(1/15+2/17)×15×17=17+2×15=17+30=47
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)=1-1/2+1/2-1/3+1/3-1/4+……+1/98-1/99+1+1/99-1/100=1-1/100=99/100

2004×(2002/2003)
=(2003+1)(2003-1)/2003
=2003 x2003 -1/2003
=2003-1/2003
(1/15 +2/17 )×15×17
= ( 17+30)/15x17 ×15×17
=47
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(9...

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2004×(2002/2003)
=(2003+1)(2003-1)/2003
=2003 x2003 -1/2003
=2003-1/2003
(1/15 +2/17 )×15×17
= ( 17+30)/15x17 ×15×17
=47
1/(1x2)+1/(2x3)+1/(3x4)+……+1/(98x99)+1/(99+100)
(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100
=1-1/100
=99/100

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