HMMT 二月 2001 · 团队赛 · 第 3 题
HMMT February 2001 — Team Round — Problem 3
题目详情
英文原题
- What is the 18 th digit after the decimal point of ?
9899
解析
英文解析
- What is the 18 th 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 18 th digit is 5 .