库房温度记录表:求和(数列)

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求和:
1/(n+1)+1/(n+2)+1/(n+3)+ ……+1/(2n-1)+1/2n
(n>1)

解:原式=(1/(n+1)+1/2n)*n/2
=(2n+n+1)/(2n*(n+1)*n/2
=(3n+1)/(4*(n+1)