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
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
已知数列{an}、{bn}是等差数列.求证:{pan+qbn}是等差数列.
数列(an)和数列(bn)是等差数列,求证数列(an+bn)也是等差数列 (详细过程)
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
已知数列an是等差数列,且bn=an+a(n+1).求证数列bn是等差数列.
已知数列{An}是等差数列,且Bn=An+A(n+1).求证数列{Bn}是等差数列
若已知数列{an}是首项为6-12t,公差为6的等差数列;数列{bn}的前n项和为Sn=3n-t.
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.
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{
已知数列{an}得前n项和为sn=an^2+bn(a,b为常数且a不等于0)求证数列{an}是等差数列
已知{an}是等差数列,bn=kan+m(k,m为常数).求证{bn}是等差数列