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)如果对任何正整数n,不等式2aSn

问题描述:

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)如果对任何正整数n,不等式2aSn