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},{bn}满足a1=1,a2=2,an>0,bn=根号下(anan+1)(n属于N*）,且{bn}是以q为公比的等比数列（1）证明：an+2=an*q的平方,并求an

两个数列{an}和{bn}满足bn=a1+2a2+...+nan/1+2+...+n,求证：若{bn}为等差数列,则数列{an}也是等差数列?能看懂的 数列an满足a1+a2+a3+...+an=n^2,若bn=1/an(an+1),求bn的和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 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{an}为等差数列 数列{an}{bn}满足bn=a1+2a2+3a3+…+nan/(1+2+3+…+n),若数列{an}为等差数列,求证；{bn}为等差数列. 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···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 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. 若数列an满足an=4n-1 又有数列bn满足bk=1/k（a1+a2+……+ak）求数列{bn}得前n项和Sn 数列{an}中,a1=-60,an+1=an+3,若数列{bn}满足bn=|an|,求数列{bn}前30项和 数列{an} {bn}满足：a1=0 a2=1 a(n+2)=[an+a(n+1)]/2 bn=a(n+1)-an 求证 bn是等比数列和 bn的通向公式 已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.（2）设bn=(2n-1)an,求数列bn的...已知数列an满足a1+2a2+2^2a3+...+2^n-1an=n/2(1).求数列an的通项公式.（2）设bn=(2n-1)an,求数列bn的前n项和sn 已知数列an满足an=31-6n,数列bn满足bn=(a1+a2+...+an)/n,求数列bn的前20项之和. 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 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 数列an中,a1=1,a2=2数列bn满足an+1+（-1）n次an,a属于N* （1）若an等差数列...数列an中,a1=1,a2=2数列bn满足an+1+（-1）n次an,a属于N*（1）若an等差数列求bn的前6项和S6（2）若bn是公差为2的等差数列求数列a 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}满足a1=1,a2=2,2an+1=an+an+2,若bn=1/anan+1,则数列{bn}的前五项和等于