如题所述
原式 = 1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)= (1/2)×[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]= (1/2)×[1-1/11]= (1/2)×(10/11)= 5/11
希望对你的学习有帮助,谢谢采纳O(∩_∩)O
希望对你的学习有帮助,谢谢采纳O(∩_∩)O
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第1个回答 2014-01-22
1/3+1/15+1/35+1/63+1/99+1/143
=1/2x[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)+(1/11-1/13)]
=1/2x(1-1/13)
=1/2x12/13
=6/13本回答被网友采纳
=1/2x[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)+(1/11-1/13)]
=1/2x(1-1/13)
=1/2x12/13
=6/13本回答被网友采纳