第六章数 列,高考专题突破三高考中的数列问题,内容索引,考点自测 快速解答 自查自纠,题型分类 对接高考 深度剖析,练出高分,考点自测,1.设等差数列an和等比数列bn首项都是1,公差与公比都是2,则 等于() A.54 B.56C.58 D.57,解析由题意得,an12(n1)2n1,bn12n12n1, a1a2a4a8a16 137153157,D,考点自测,1,解析答案,1,2,3,4,5,2.已知等比数列的各项都为正数,且当n3时,a4a2n4102n,则数列lg a1,2lg a2,22lg a3,23lg a4,2n1lg an,的前n项和Sn等于() A.n2n B.(n1)2n11 C.(n1)2n1 D.2n1,解析答案,1,2,3,4,5,解析等比数列an的各项都为正数,且当n3时,a4a2n4102n,2n1lg an2n1lg 10nn2n1, Sn122322n2n1,,1,2,3,4,5,2Sn12222323n2n, 得Sn12222n1n2n2n1n2n (1n)2n1, Sn(n1)2n1. 答案C,解析答案,1,2,3,4,5,解析因为an1a1a