2020版高考数学一轮复习第六章数列课时规范练28等差数列及其前n项和文北师大版.doc

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1课时规范练 28 等差数列及其前 n项和基础巩固组1.由 a1=1,d=3确定的等差数列 an,当 an=298时,序号 n等于( )A.99 B.100 C.96 D.1012.(2018湖南长郡中学仿真,6)已知等差数列 an满足 an+1+an=4n,则 a1=( )A.-1 B.1 C.2 D.33.(2018河南商丘二模,3)已知等差数列 an的公差为 d,且 a8+a9+a10=24,则 a1d的最大值为( )A. B. C.2 D.44.在等差数列 an中, a3+a6=11,a5+a8=39,则公差 d为 ( )A.-14 B.-7 C.7 D.145.已知等差数列 an的前 n项和为 Sn,且 3a3=a6+4,若 S50,a 3 时, f(n)0,当 0n 时, f(n)0,203 203 当 n= 时, f(n)取最小值,203又 n N +,f(6)=-48,f(7)=-49, 当 n=7时, f(n)取最小值 -49.

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