返回题库

HMMT 二月 2001 · 团队赛 · 第 3 题

HMMT February 2001 — Team Round — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. What is the 18th digit after the decimal point of ? 9899
解析
  1. What is the 18th digit after the decimal point of ? 9899 10000 Solution: satisfies 100( x − 1) = 1 . 01 x , so each pair of adjacent digits is generated 9899 by adding the previous two pairs of digits. So the decimal is 1 . 01020305081321345590 . . . , and the 18th digit is 5 .