[6/(1×7)]-[6/(7×13)]-[6/(13×19)]-[6/(19×25)]-……-[6/(97×103)]= ()A.433/567B.532/65
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已帮助 人
[6/(1×7)]-[6/(7×13)]-[6/(13×19)]-[6/(19×25)]-……-[6/(97×103)]= ()
A.433/567
B.532/653
C.522/721
D.436/673
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正确答案:C
原式=(1-1/7)-(1/7-1/13)-(1/13-1/19)-(1/19-1/25) -…-(1/97-1/103)=1-1/7-1/7+1/13-1/13+1/19-1/19+1/25-…-1/97+1/103=1-1/7-1/7+1/103=522/721
