字典翻译 问答 其它 1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6---------+1/48*49*50
问题标题:
1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6---------+1/48*49*50
问题描述:

1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6---------+1/48*49*50

陆霄晔回答:
  =1/2×(1/1*2-1/2*3+1/2*3-1/3*4+1/3*4-1/4*5+……+1/48*49-1/49*50)   =1/2×(1/1*2-1/49*50)   =306/1225
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