专题三数列真题体验·引领卷一、选择题1.(2015·全国卷Ⅱ)已知等比数列{an}满足a1=3,a1+a3+a5=21,则a3+a5+a7=()A.21B.42C.63D.842.(2014·天津高考)设{an}是首项为a1,公差为-1的等差数列,Sn为其前n项和,若S1,S2,S4成等比数列,则a1=()A.2B.-2C
D.-3.(2015·浙江高考)已知{an}是等差数列,公差d不为零,前n项和是Sn,若a3,a4,a8成等比数列,则()A.a1d>0,dS4>0B.a1d0B.若a1+a30,a+2an=4Sn+3
(1)求{an}的通项公式;(2)设bn=,求数列{bn}的前n项和.11.(2015·四川高考)设数列{an}(n=1,2,3,…)的前n项和Sn满足Sn=2an-a1,且a1,a2+1,a3成等差数列.(1)求数列{an}的通项公式;(2)记数列的前n项和为Tn,求使得|Tn-1|