已知{an}是一个公差大于0的等差数列,且满足a3a6=55,a2+a7=16(1)若数列{an}和数列{bn}满足等式:an=b1/2+b2/2^2+b3/2^3+……+bn/2^n,n为正整数,求数列{bn}的前n项和Sn.

问题描述:

已知{an}是一个公差大于0的等差数列,且满足a3a6=55,a2+a7=16(1)若数列{an}和数列{bn}满足等式:an=
b1/2+b2/2^2+b3/2^3+……+bn/2^n,n为正整数,求数列{bn}的前n项和Sn.