前6项和为S6=36,后6项和为Sn-S(n-6)=324-144=180,所以首项+尾项=(36+180)/6=36,又因为Sn=(首项+尾项)项数/2,即324=36n/2得n=18
等差数列an的前n项和为Sn,已知S6=36,Sn=324,S(n-6)=144(n>6),则n=多少?
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