已知数列{an},定义bn=(a1+a2+……+an)/2.求证:数列{bn}成等差数列的充要条件是{an}成等差数列.
已知数列{an},定义bn=(a1+a2+……+an)/2.求证:数列{bn}成等差数列的充要条件是{an}成等差数列.
已知:bn=(a1+2a2+...+nan)/(1+2+...+n),数列an成等差数列的充要条件是bn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{
设an是等差数列,求证以bn=(a1+a2+a3+…+an)/n,n属于N+为通项公式的数列bn是等差数列
等差数列的题已知数列bn=(a1+2a2+……+nan)/(1+2+……+n),数列bn是等差数列,求证数列an是等差数
已知数列{an}为等差数列,且a1=2,a1+a2+a3=12,令bn=3^an,求证,数列{bn}是等比数列
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
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}是等差数列,且bn=3an+1 1.求证:数列{bn}是等差数列 2.若a1=2,
1.已知数列{an}是等差数列,a1=2,a1+a2+a3=12,令bn=3^an,求数列{bn}的前n项和Sn.