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+1
1.证明:根号bn是等差数列
2.设a1=1,a2=2,求{an}{bn}的通项公式

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
1.
a(n),bn,a(n+1)成等差数列
所以 a(n)+a(n+1)=2b(n)
a(n+1)=根号下(b(n)*b(n+1))
a(n)=根号下(b(n)*b(n-1))
根号下(b(n)*b(n+1))+根号下(b(n)*b(n-1))=2b(n)
根号下(b(n+1))+根号下(b(n-1))=2根号下(b(n))
所以,根号bn是等差数列
2.
b(1)=1.5
a(2)=根号下(1.5b(2))
b(2)=8/3
根号下(b(n))=根号下(1.5)+(n-1)*(根号下(8/3)-根号下(1.5))
b(n)=(根号下(1.5)+(n-1)*(根号下(8/3)-根号下(1.5)))^2
a(n)=1 当n=1
=(根号下(1.5)+(n-1)*(根号下(8/3)-根号下(1.5)))*(根号下(1.5)+(n-2)*(根号下(8/3)-根号下(1.5)))
当n>1

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