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f(k)=1-1/2+1/3-1/4+……1/2k-1-1/2k,则f(k+1)=f(k)+?
人气:256 ℃ 时间:2020-05-08 02:26:38
解答
注意:f(k)是2k个数之和,f(k+1)就是2k+2个数之和,所以f(k+1)=1-1/2+1/3-1/4+……(1/2(k+1)-1)-1/2(k+1)=f(k)+1/2(k+1)-1)-1/2(k+1)=f(k)+1/(2k+1)(2k+2)
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