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求2/(1*7)+2/(7*13)+2/(13*19)+...+2/(145*151)=?,
人气:153 ℃ 时间:2020-04-10 00:57:53
解答
2/(1*7)=1/3*(1/1-1/7)
2/(7*13)=1/3*(1/7-1/13)
…………
2/(1*7)+2/(7*13)+2/(13*19)+...+2/(145*151)
=1/3*(1/1-1/7+1/7-1/13+1/13-1/19+……+1/145-1/151)
=1/3*(1-1/151)
=50/151
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