设数列an与数列bn满足a1=b1=1,bn/an=1/a1 +1/a2+……+1/an-1,求证:设（1+1/b1)(1+1/b2)……(1+1/bn)=入(1/a1+1/a2+……1/an).求实数入的值老师说用数学归纳法，怎么证明

设数列an与数列bn满足a1=b1=1,bn/an=1/a1 +1/a2+……+1/an-1,求证:设（1+1/b1)(1+1/b2)……(1+1/bn)=入(1/a1+1/a2+……1/an).求实数入的值老师说用数学归纳法，怎么证明 已知数列｛an｝中,a1=1,a(n+1)=2Sn+1(n属于N*),数列｛bn｝中,b1=1,b4=7,且满足b(n+2)+bn=2b(n+1),求数列｛an｝与｛bn｝的通项公式.设Sn是数列｛an·bn｝的前n项和,求Sn 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,b1=2,a2=3求通项an,bn 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成等比数列,且a1=1,b1=2,a2=3,求通项an,bn 数列an,bn满足a1=b1=1,an+1-an=bn+1/bn=2,则数列ban的前10项和为 设数列an为等比数列,数列bn满足bn=na1+(n-1)a2+...+2an-1+an已知b1=1,b2=4第一问为什么可以“由已知b1=a1” 设数列{an}和{bn}满足:a1=b1=6,a2=b2=4,a3=b3=3,数列{an+1-an}是等差数列···设数列{an}和{bn}满足:a1=b1=6,a2=b2=4,a3=b3=3,数列{an+1-an}是等差数列,Sn为数列{bn}的前n项和,且Sn=2n-bn+10,(1)分别求{an}{bn}的通项公式(2 数列{an}与{bn}满足an=1/n(b1+b2+…+bn)(n∈N).求证:数列{bn}为等差数列的充要条件是数列{an}为等差数列 已知数列{an},{bn}满足a1=2,2an=1+2an*an+1,设{bn}=an-1求数列{1n}为等差数列急！！！ 设数列{an}{bn}满足a1=b1=6 a2=b2=4 a3=b3=3若{an+1 - an}为等差数列.{bn+1 -bn}为等比数列.分别求{an}{bn}的通项公式. 设各项均为正数的数列{an}和{bn}满足5^[an ],5^[bn] ,5^[a(n+1)] .设各项均为正数的数列{an}和{bn}满足5^[an ],5^[bn] ,5^[a(n+1)] 成等比数列,lg[bn],lg[a(n+1)],lg[bn+1]成等差数列,且a1=1,b1=2,a2=3,求通项an、bn. 数列an满足,a1=1/4,a2=3/4,an+1=2an-an-1(n≥2,n属于N*),数列bn满足b1 设数列{an}和{bn}满足a1=b1=6,a2=b2=4,a3=b3=3 ,且数列{an+1-an}是等差数列设数列{an}和{bn}满足a1=b1=6,a2=b2=4,a3=b3=3 ,且数列{a(n+1)-an}是等差数列,{bn-2}是等比数列(2)设{nbn}的前n项和为Sn,求Sn的表达式(3)数列{C 设数列An,Bn满足a1=b1=6,a2=b2=4,a3=b3=3,且数列A(n+1)-An(n属于正整数)是等差数列.设数列An,Bn满足a1=b1=6,a2=b2=4,a3=b3=3,且数列A(n+1)-An(n属于正整数)是等差数列,sn为数列｛BN}的前几项和,且sn=2n-bn+101）求数 已知数列（an）中,an是Sn与2的等差中项,数列（bn）中,b1=1,点Pn(bn,bn+1)在直线x-y+2=0上1.求数列(an),(bn)的通项公式2.设数列(bn)的前n项和Bn,试比较(1/B1)+(1/B2)+.(1/Bn)与2的大小3.设Tn=b1/a1+b2/a2+...+bn/an,若T 等差等比数列应用设数列{An}和{Bn}满足A1=B1=6,A2=B2=4,A3=B3=3,且数列{A（n+1）-An}是等差数列,数列{Bn-2}是等比数列（1）设,求数列{Cn}的通项公式（2）求数列{An}和{Bn}的通项公式 设数列an,bn分别满足a1*a2*a3...*an=1*2*3*4...*n,b1+b2+b3+...bn=an^2,n属于N+a1*a2*a3...*an=1*2*3*4...*n,b1+b2+b3+...bn=an^2,n属于N+1)求数列an和bn的通项公式 数列[an},a1=2,an+1=an+2^n+1,设{bn}满足bn=2log2(an+1-n),证明（1+1/b1)(1+1/b2)……（1+1/bn)对一切n为正整数成立