课时作业(五)等差数列的前n项和一、选择题1在等差数列an中,a21,a45,则an的前5项和S5()A7 B15C20 D252等差数列an的前n项和Snn25n,则公差d等于()A1 B2C5 D103设Sn是等差数列an的前n项和,若a1a3a53,则S5()A5 B7C9 D114已知某等差数列共有10项,其奇数项之和为15,偶数项之和为30,则其公差为()A5 B4C3 D2二、填空题5记等差数列an的前n项和为Sn,若a23,S510,则a5_,Sn的最小值为_6记等差数列前n项和为Sn,若S24,S420,则该数列的公差d_.7若等差数列an满足a7a8a90,a7a100,a7a10a8a90,a95时,an0;当n5时,an0;当n0.当n5时,Sn|a1|a2|an|a1a2a5(a6a7an)S5(SnS5)2S5Sn2(9525)9nn2n29n40,当n5时,Sn|a1|a2|an|a1a2an9nn2.Sn