(2/11×13)+(2/13×15)+(2/15×17)+(2/17×19)+(2/19×21)
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估计题目本意是计算:弯逗
2/(11×13)+2/(13×15)+2/(15×17)
+2/(17×19)+2/(19×21),
故以下按此式计算:
解:2/(11×13)+2/(13×15)+2/困闹耐(15×17)
+2/(17×19)+2/(19×21)
=(1/11-1/13)+(1/13-1/15)+(1/15-1/17)
+(1/17-1/19)+(1/19-1/21)
=1/11-1/13+1/13-1/15+1/15-1/17
+1/17-1/汪春19+1/19-1/21
=1/11-1/21
=10/231.
2/(11×13)+2/(13×15)+2/(15×17)
+2/(17×19)+2/(19×21),
故以下按此式计算:
解:2/(11×13)+2/(13×15)+2/困闹耐(15×17)
+2/(17×19)+2/(19×21)
=(1/11-1/13)+(1/13-1/15)+(1/15-1/17)
+(1/17-1/19)+(1/19-1/21)
=1/11-1/13+1/13-1/15+1/15-1/17
+1/17-1/汪春19+1/19-1/21
=1/11-1/21
=10/231.
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