1/(2*5)+1/(3*5)+1/(8*11)+...+1/(20*23)
怎么感觉一点规律也没有啊.....
人气:132 ℃ 时间:2020-03-20 18:35:18
解答
如果是把“1/(3*5)+”换成“1/(5*8)+”就对了2,5,8,11,14,17,20,23..顺序增加31/(2*5)+1/(5*8)+1/(8*11)+...+1/(20*23)=(1/3)*(1/2-1/5+1/5-1/8+1/8-1/11+.+1/20-1/23)=(1/3)*(1/2-1/23)=7/46
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