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)
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)
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=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},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.
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
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{an}是一个公差大于0的等差数列,且满足a3a6=55,a2+a7=16(1)若数列{an}和数列{bn}满足等式
各项和为正数的数列an和bn满足an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列 求证(根号bn)是等
已知数列{an}是等差数列,且bn=2的an次方,求证数列{bn}是等比数列
若数列An是等差数列,则有数列Bn=a1+a2+a3+a4+...+an/n也是等差数列,类比上述性质,相应的,若数列C
已知数列{an}、{bn}是等差数列.求证:{pan+qbn}是等差数列.