灵鹊做题网真麻烦的话讲下解题思路也好啊!小的给您磕头了!
来源：学生作业帮 编辑：灵鹊做题网作业帮 分类：数学作业 时间：2024/05/01 11:19:23
真麻烦的话讲下解题思路也好啊!小的给您磕头了!
这个是填空题,所以我也就选择找规律了.（具体的我也不懂）
依次得到以下结果：
a1 = 2 ,b1 = 3 = 1 + 2^1
a2 = 2/3 ,b2 = 7 =b1 + 4 = b1 + 2^2
a3 = 6/5 ,b3 = 15 = b2 + 8 = b2 + 2^3
a4 = 10/11,b4 = 31 = b3 + 16 = b3 + 2^4
...
b(n+1) = b(n) + 2^n = ……= 1 + 2 + 2^2 + 2^3 + … + 2^(n+1) = 2^(n+2)-1
所以 b2011 = 2^2012 - 1
依次得到以下结果：
a1 = 2 ,b1 = 3 = 1 + 2^1
a2 = 2/3 ,b2 = 7 =b1 + 4 = b1 + 2^2
a3 = 6/5 ,b3 = 15 = b2 + 8 = b2 + 2^3
a4 = 10/11,b4 = 31 = b3 + 16 = b3 + 2^4
...
b(n+1) = b(n) + 2^n = ……= 1 + 2 + 2^2 + 2^3 + … + 2^(n+1) = 2^(n+2)-1
所以 b2011 = 2^2012 - 1