已知数列{an}{bn}满足:对任意正整数n,都有an,bn,a(n+1)成等差数列,bn,a(n+1),b(n+1)成等比数列且a1=10,a2=15.求数列{an}{bn}的通项公式

已知正项数列｛an｝｛bn｝满足,对任意正整数n,都有an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列且a1=10,a2=15求证：数列(根号Bn)是等差数列求数列{an},{bn}通项公式设Sn=1/(a1)+1/(a2)+1/(a3)+.1/(an)如果对任 已知正数列{an}和{bn}满足:对任意n(n属于N*),an,bn,an+1成等差数列且an+1=根号下b已知正数列{an}和{bn}满足:对任意n(n属于N*),an,bn,a（n+1）成等差数列且a（n+1）=根号下bn x b（n+1）判断数列根号下bn为 已知数列{an}{bn}满足,对任意n属于正整数,an,bn,an+1成等差数列,且an+1=根号下bnbn+1 1.证明:根号bn是等差已知数列{an}{bn}满足,对任意n属于正整数,an,bn,an+1成等差数列,且an+1=根号下bnbn+11.证明:根号bn 已知数列{an}{bn}满足,对任意n属于正整数,an,bn,an+1成等差数列,且an+1=根号下bnbn+1 1.证明:根号bn是等差已知数列{an}{bn}满足,对任意n属于正整数,an,bn,an+1成等差数列,且an+1=根号下bnbn+11.证明:根号bn 已知正项数列{an},{bn}满足：a1=3,a2=6,{bn}是等差数列,且对任意正整数n,都有bn,根号an,bn+1成等比数列.（1）求数列{bn}的通项公式.（2）设Sn=1/a1+1/a2+.+1/an,试比较Sn与1的大小.求哪位大仙给解下, 已知正项数列{an}满足a1=1,Sn是数列{an}的前n项和,对任意n∈N+,有2Sn=2an^2+an-1.记bn=an/2^n求数列bn的前n项和先求an的通项 正整数列{an},{bn}满足对任意正整数n,an、bn、an+1成等差数列,bn、an+1、bn+1成等比数列,证明：数列{根号bn}成等差数列 正数列{an}和{bn}满足对任意自然数n,an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列1）证明：数列{√bn}成等差数列（2）若a1=1,b1=2,a2=3,求数列{an},{bn}的通项公式（3）在（2）的前提下求{1/an}的通项公 已知正数列{an}和{bn}满足:对任意n(n属于N*),an,bn,a（n+1）成等差数列且a（n+1）=根号下bn x b（n+1）判断数列根号下bn为等差数列 已知数列【an】是首项为a,公差为1的等差数列,数列【bn】满足 bn=(1+an)/an ,若对任意的n∈N,都有bn≥b8成立,则实数a的取值范围______ 已知正项数列{an},{bn}满足:对任意正整数n,都有an,bn,a(n+1)成等差数列,bn,a(n+1),b（n＋1）成等比数列且a1＝10,a2＝15,（1）求数列{√bn}是等差数列,（2）求{an}{bn}的通项公式（3）设Sn＝1/a1＋1/a2＋.＋1 已知数列{An}、{Bn}满足a1=1/2 b1=-1/2 且对任意m、n∈N+,有Am+n=Am·An,Bm+n=Bm+Bn已知数列{An}、{Bn}满足A1=1/2 B1=-1/2 且对任意m、n∈N+,有Am+n=Am·An,Bm+n=Bm+Bn(1)求数列{An}{Bn}的通项公式(2)求数列{AnBn}的前n项和 已知正项数列{an},{bn}满足：对任何正整数n,都有an,bn,a(n+1）成等差数列,bn,a(n+1),b(n+1)成等比数列,且a1=10,a2=15求证：数列(根号Bn)是等差数列求数列{an},{bn}通用公式设Sn=1/(a1)+1/(a2)+1/(a3)+.1/(an)如果 正数列{an}和{bn}满足对任意自然数n,an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列（1）证明：数列{√bn}成等差数列（2）若a1=1,b1=2,a2=3,求数列{an},{bn}的通项公式（3）在（2）的前提下求{1/an}的通项 正数列{an}和{bn}满足对任意自然数n,an,bn,an+1成等差数列,bn,an+1,bn+1成等比数列（1）证明：数列{√bn}成等差数列（2）若a1=1,b1=2,a2=3,求数列{an},{bn}的通项公式（3）在（2）的前提下求{1/an}的通项 an=d1+d2+d3+...+d2n数列bn,b1=2,bn的m次方=bm的n次方已知n∈N,数列{dn}满足dn=[3+(-1)的n次方]/2,数列{an}满足an=d1+d2+d3+...d2n,数列{bn}中,b1=2,且对任意正整数m,n,(bn)^m=(bm)^a（1）求数列{an}和数列{bn}的通项公式 已知函数f(x)满足:对任意的x∈R,x≠0,恒有f(1/x)=x成立,数列{an}、{bn}满足a1=1,b1=1,且对任意n∈自然数,均有a(n+1)=an*f(an)/(f(an)+2),b(n+1)-bn=1/an求{an}、{bn}通项公式 已知数列｛an｝是公比大于1的等比数列,对任意的n∈N*有,an+1=a1+a2+...+an-1+5/2an+1/21.求数列｛an｝的通项公式2.设数列｛bn｝满足：bn=1/n(log3(a1)+log3(a2)+...+log3(an)+log3(t))(n∈N*),若｛bn｝为等差数列,求