Sn是等差数列{an}的前n项和,已知S10=100,S20=10,求S30.

(1)已知数列an的前n项和为sn满足sn=an²+bn,求证an是等差数列(2)已知等差数列an的前n项和为sn,求证数列sn/n也成等差数列 已知数列{an}的前n项和sn满足sn=an^2+bn,求证{an}是等差数列 设Sn是等差数列{an}的前n项和,已知S8=108,Sn=630,S(n-8)=234,求n. 设Sn是等差数列{an}的前n项和,已知S8=108,Sn=630,S(n-8)=234,求n. 设Sn为等差数列{An}的前n项和,求证：{Sn/n}是等差数列 已知sn=32n-n^2求等差数列|an|的前n项和sn 已知等差数列{an}的前n项和是sn=32n一n*n,求{|an|}的前n项和sn {an}是等差数列,a1不等于0,Sn是它前n项的和.求lim (n→∞) (Sn+S(n+1))/(Sn+S(n-1)) 已知an的前n项和是Sn,且满足an+2Sn·S(n-1)=0(n大于等于2),a1=1/2(1)求证：{1/Sn}的等差数列（2）求an的表达式 已知等差数列{an}中,Sn是它的前n项和,若S16>0,S17 等差数列an的前n项和是sn,已知s14>0,s15 等差数列{an}的前n项和是Sn,已知S14>0,S15 已知等差数列{an}中,Sn是它的前n项和,若S16>0,S17 已知数列{an}的前n项和为Sn,且满足an+2Sn*S(n-1)=0 (n>=2),a1=0.5.(1)求证：{1/Sn}是等差数列 （2）求an 已知数列{an}的前n项和为Sn=n^2-3n,求证：数列{an}是等差数列 已知数列{an}的前n项和Sn=100n-n^2,证明{an}是等差数列 已知数列｛an｝的前n项和sn=n方+3n,求证数列{an}是等差数列 已知an是等差数列,前n项和为Sn,求证:S3n=3(S2n-Sn)