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1/4+1/12+1/24+1/40……+1/19800=?
人气:128 ℃ 时间:2020-02-05 09:57:54
解答
1/4+1/12+1/24+1/40+……+1/19800 =(1/2)*[1/2+1/6+1/12+1/20+...+1/9900] =(1/2)*[1/1*2+1/2*3+1/3*4+1/4*5+...+1/99*100] =(1/2)*[1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/99-1/100] =(1/2)*[1-1/100] =(1/2)*(99/10...
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