HMMT 二月 2000 · 团队赛 · 第 14 题
HMMT February 2000 — Team Round — Problem 14
题目详情
英文原题
- De ne a sequen e < x > of real n um b ers b y sp e ifying an initial x and b y the re urren en 0
1+ xnx = . Find x as a function of x and n , in losed form. There ma y be m ultiplen +1 n 0
1 xnases.
2 q 2
解析
英文解析
- x if n 0 (mo d 4), if n 1 (mo d 4), if n 2 (mo d 4), if n 3 (mo d
1 x x x +10
0 0 0
4).