1.设Sn是等差数列【An]的前n项和,若S3/S6=1/3,求S6/S12
1个回答
设等差数列的首项为a1,公差为d.
则有(a1+2d)/(a1+5d)=1/3,解得d=-2a1
那么S6/S12=(a1=5d)/(a1+11d)=(9a1)/(21a1)=3/7
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