已知数列前几项 Sn=2n²+n-1
问题描述:
已知数列前几项 Sn=2n²+n-1
(1)求通项公式.
(2)若Sn有最值,求最值所对n
答
n>=2时,an=Sn-Sn-1=2n^2+n-1-[2(n-1)^2+n-1-1]=2n^2+n-1-[2n^2-4n+2-n-2]=2n^2+n-1-2n^2+4n-n=4n-1n=1时,S1=a1=2Sn=2(n^2+1/2n+1/16)-1-1/8=2(n+1/4)^2-9/8 n=1事 S1最小,s1=2