設(shè)等差數(shù)列{an}的前n項和為Sn,若a4≥8,a5≤10,則S6的最小值為_.
設(shè)等差數(shù)列{an}的前n項和為Sn,若a4≥8,a5≤10,則S6的最小值為______.
優(yōu)質(zhì)解答
∵{a
n}為等差數(shù)列,設(shè)首項為a
1,公差為d,由題意可得
,解得d≤2,
∴-d≥-2,
∴s
6=6a
1+
d=6a
1+15d=6(a
1+3d)-3d=6a
4-3d≥48-3d≥42,
故答案為42.
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