an等差数列 bn前n项和sn满足sn=3(bn－1)／2 且a2=b1 a5=b2 ⑴求an bn通项 ⑵设tn为数列sn的前n项和,求tn

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 (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 设数列an的前n项和为Sn,满足an+sn=An^2+Bn+1(A不等于0)an为等差数列,求(B-1)/A 等差数列an,bn的前n项和Sn,Tn满足Sn/Tn=3n+1/2n+5,则a3/b3= an是等差数列,bn满足bn=an*a(n+1)*a(n+2),bn的前n项和是Sn,若a1=d,用数学归纳法证明Sn=bn*a(n+3)/4d. 数列（an}的前n项和为Sn,且满足an=-3Sn*Sn-1(n>=2),a1=1/3 1.证（1/Sn}是等差数列数列（an}的前n项和为Sn,且满足an=-3Sn*Sn-1(n>=2),a1=1/3 1.证（1/Sn}是等差数列 2.令bn=2(1-n)an(n>=2)求证b2平方+b3平方+.+bn平方 已知数列an满足a1=2 其前n项和为Sn Sn =n+7~3an 数列bn满足 bn=an~1 证明数列bn是等差数列 等差数列an中,a1=1前n项和Sn,满足条件S2n/Sn=4n+2/n+1,求an通项 记Bn=anp^an(p>0)求数列{bn}的前n项和Tn 等差数列{an}满足:a3=7.a5+a7=26.{an}的前n项和为sn.令bn=1/an^-1（1）求an及sn（2）求数列{bn}的前n项和 设数列[an}的前n项和为Sn,已知a1=1且满足3Sn的平方=an(3Sn-1),1求{1/Sn}为等差数列 1.求{1/Sn}为等差数列2.若bn=Sn/3n+1,数列{bn}的前n项和为Tn,求Tn 等差数列{an}的前n项和sn=an^2+bn+c,则c= 等差数列{an}中an=2n+1,等比数列{bn}满足b1=a2,b2=a4求{bn}前n项和Sn 已知在正整数数列｛an｝中,前n项和Sn满足：Sn=1/8(an+2)的平方 (1)求证：｛an｝是等差数列 (2)若bn=1/...已知在正整数数列｛an｝中,前n项和Sn满足：Sn=1/8(an+2)的平方(1)求证：｛an｝是等差数列(2)若bn 已知正整数数列中,前n项和为Sn.满足Sn=1/8(an+2)^2,求证{an}为等差数列第二问:bn=1/2*an-30,求bn前n项和最小值 关于等差数列的题设数列{An}的前n项和为Sn,已知A1=1,且满足3Sn^2=An(3Sn-1)(n≥2)(1)求证:数列{1/Sn}是等差数列(2)设bn=Sn/3n+1,求数列{bn）的前n项和n 已知等差数列{an}的前n项和为Sn,如果Sn=(an+1/2)^2(n∈N+0,bn=(-1)^n*Sn已知等差数列{an}的前n项和Sn,如果Sn=(an+1/2)^2(n∈N+0,bn=(-1)^n*Sn,试求{bn}的前n项和Tn 数列an的前n项和为Sn,a1=1/4且Sn=Sn-1+an-1+1/2（n-1为下标）数列bn满足b1=-119/4,3bn-bn-1=n 求an通项公式,证：数列bn-an是等比数列,bn前n项和Tn的最小值数列an不一定是等差数列~~ 在数列｛an｝中a1=1Sn是其前几项和,当n>=2时,Sn与an满足关系式2Sn^2=an（2Sn-1）证明｛1/Sn｝是等差数列并求｛an｝的通项公式（2）设bn=Sn/2n+1,求数列｛bn｝的前n项和Tn