设各项均为正数的无穷数列an和bn满足2bn=an+an+1且an-1方=bn*bn+1,求证根号bn是等差数列

设各项均为正数的数列{an}和{bn}满足:an,bn,an+1成等差数列,bn,an+1,bn+1等比数列且a1=1, 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 数列an,bn各项均为正数,对任意n,an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列证数列根号BN成 数列{an}和{bn}满足a1=1 a2=2 an>0 bn=根号an*an+1且{bn}是以公比为q的等比数列 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 各项均为正数的数列an bn满足：an+2=2an+1 +an,bn+2=bn+1 +2bn(n属于N+）,那么 201 数列an,bn各项均为正数,a1=1,b1=2,a2=3,对任意n,an,bn,an+1成等差数列,bn,an+1,bn 已知数列{an}和{bn}满足：a1=1,a2=2,an>0,bn=根号anan+1,且{bn}是以q为公比的等比数列. 设各项均为正数的数列{an}和{bn}满足5^an,5^bn,5^an+1成等比数列,lgbn,lgan+1,lgbn+ 有两个各项an,bn都是正数的数列和,如果a1=1,b1=2,a2=3,且an,bn,an+1成等差数列,bn,an+1 设数列{An}{Bn} 满足A1=B1= A2=B2=6 A3=B3=5且{An+1-An}是等差数列{Bn+1-Bn} 已知数列an是各项均不为0的等差数列,Sn为其前n项和,且满足S2n-1=1/2an^2,数列bn满足,当n为奇数时bn