等差数列{an},a1=1,前n项和Sn,S2n/Sn=4
问题描述:
等差数列{an},a1=1,前n项和Sn,S2n/Sn=4
(1)求数列{an}的通项共识和Sn
(2)记bn=an*2^(n-1)求{bn}的前N项和Tn
答
S2n=2n+n*(2n-1)d Sn=n+n(n-1)d/24Sn=4n+2(n^2-n)dS2n/Sn=4 S2n=4Sn4n+2d(n^2-n)=2n+(2n^2-n)d整理,得dn=2nd=2S2n=2n+n*(2n-1)d Sn=n+n(n-1)d/24Sn=4n+2(n^2-n)dS2n/Sn=4 S2n=4Sn4n+2d(n^2-n)=2n+(2n^2-n)d整理,得dn...