①设an是等差数列,求证：{Sn/n}是等差数列②在等差数列an中,a1=-2010,其前n项和为Sn,若S2009/2009-S2007/2007=

设Sn为等差数列{An}的前n项和,求证：{Sn/n}是等差数列 设Sn是等差数列｛an｝的前n项和,求证：若正整数m,n,p成等差数列,则Sm/m,Sn/n,Sp/p也成等差数列. 一道关于等差数列的题设Sn为等差数列｛An｝的前n项和 求证：数列｛n分之Sn}是等差数列 ①设an是等差数列,求证：{Sn/n}是等差数列②在等差数列an中,a1=-2010,其前n项和为Sn,若S2009/2009-S2007/2007= 设Sn为等差数列前n项和,求证:{Sn/n}是等差数列 设Sn为等差数列an的前n项和.求证Sn/n为等差数列 设数列{an}的前n项和为Sn ,求证数列{an}成等差数列的充要条件是：对一切m,n∈N*,都有 已知an是等差数列,前n项和为Sn,求证:S3n=3(S2n-Sn) 设数列an的前n项和为sn,对于所有的自然数n都有sn=n(a1+an)/2,求证an是等差数列.请按照我的思路来做.设数列an的前n项和为sn,对于所有的自然数n都有sn=n(a1+an)/2,求证an是等差数列.我的思路为 an=sn-sn (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﹛an﹜是等差数列,Sn是其前n项和,求证:以bn=Sn／n﹙n∈N*)为通项公式的数列﹛bn﹜是等差数列 设｛an｝是等差数列,Sn是其前n项和,求证：以bn=Sn/n (n属于N*) 为通项公式的数列｛bn}是等差数列 设数列{an}的前n项和Sn,且a1=1,Sn=4an+2(n∈N*)1.设bn=an+1-2an,求证：{bn}是等比数列2.设Cn=an/2∧n,求证：{Cn}是等差数列3.求Sn=a1+a2+...+an 设数列{an}的前n项和为Sn且a1=1,Sn+1=4an+2(n属于正整数) （1）设bn=an/2n,求证数列{bn}是等差数列 （2设数列{an}的前n项和为Sn且a1=1,Sn+1=4an+2(n属于正整数)（1）设bn=an/2n,求证数列{bn}是等差数列（2）求 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是等比数列｛an｝的前n项和,s3,S9,S6,成等差数列求证:a2,a8,a5　成等差数列 设Sn是等比数列｛an｝的前n项和,s3,s9,s6,成等差数列求证:a2,a8,a5　成等差数列 设数列{an}的前n项和为Sn,a1=1,an=sn/n+2(n-1),求证数列{an}是等差数列,并求其通项公式an