Posted by haifeng on 2021-11-07 15:56:13 last update 2021-11-07 15:56:13 | Answers (1) | 收藏
设 $a < b$, $x_0=a$, $x_1=b$, $x_n=\dfrac{x_{n-1}+x_{n-2}}{2}$, $(n=2,3,\ldots)$, 证明:
\[ \lim_{n\rightarrow\infty}x_n=\frac{a+2b}{3}. \]
