若{an}和{bn}数列是等差数列,s,t为已知实数,求证{san+tbn}也是等差数列．

若数列{an},{bn}都是等差数列,s,t 为已知常数,求证数列{ s an+t bn}是等差数列 若{an}和{bn}数列是等差数列,s,t为已知实数,求证{san+tbn}也是等差数列． 已知数列{an}和{bn}满足关系:bn=(a1+a2+a3+…+an)/n,(n∈N*).若{bn}是等差数列,求证{an}为等差数列 若数列{an}、{bn}都是等差数列,s.t为已知常数,则数列{san+tbn}是等差数列,类比以上命题条件和结论写出关于等比数列{an}和{bn}的类似结论,并予以证明 若数列{an},{bn}都是等差数列,求{K(an+bn)}是等差数列 数列{an}是等差数列,a1=-2,a3=2 求若bn=2的an次方,求数列{an*bn}的前n项和Sn. 若数列{An},{Bn}都是等差数列,s,t为已知实数,求证{an^t*bn^t}也是等差数列{an^s*bn^t} 两个数列{an}和{bn}满足bn=a1+2a2+...+nan/1+2+...+n,求证：若{bn}为等差数列,则数列{an}也是等差数列?能看懂的 两个数列{an}和{bn}满足bn=(a1+2a2+3a3…+nan)/(1+2+3+…+n)(n∈N*）.1+2+3+…n=（n（n+1)）/2（1）若数列{bn}是等差数列,求证：{an}也是等差数列;（2）若数列{an}是等差数列,求证：{bn}也是等差数列. 在数列{an}和{bn}是两个无穷等差数列,公差分别为d1和d2,求证：数列{an+bn}是等差数列,并求它的公差. 在等比数列{an}中,an＞0,n属于N*：若{bn}是等差数列,求证数列{lg an}是等差数列,数列{2bn}是等比数列 等比数列问题,请速回答,已知命题P:设数列{an}是等差数列,若存在正整数r,s（r≠s),使ar=as,则数列{an}是常数列命题Q:设数列{bn}是等差数列,若存在正整数r,s（r≠s),使br=bs,则数列{bn}是常数列1.求证 若数列{an}的前n项和为Sn=an^2+bn+c,求证数列{an}为等差数列的充要条件是c=0 数列Cn=Bn*An,Bn是等差数列,An是等比数列,怎么求Cn的前n项和? 设数列an,bn满足:bn=(a1+a2+a3+a4+...+an)/n,若bn是等差数列,求证an也是等差数列 数列an中,a1=1,a2=2数列bn满足an+1+（-1）n次an,a属于N* （1）若an等差数列...数列an中,a1=1,a2=2数列bn满足an+1+（-1）n次an,a属于N*（1）若an等差数列求bn的前6项和S6（2）若bn是公差为2的等差数列求数列a 已知数列{an}是等差数列,且bn=an+a(n-1),求证bn也是等差数列 如果数列{an}是等差数列,设bn=(1/2)^an,数列{bn}是等比数列吗?