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

问题描述:

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