Computational Thinking & Programming Magic Sequences Computational Thinking & Programming
Which is the 1000th number? 1 2 3 4 5 6 … 20 18 16 14 12 10 ... 1/2 2/3 3/4 4/5 ... 1 3 6 10 15 ... 1 3 9 27 ... an = 3 * n2 + 4n + 1 an = n2
Magic sequence in Nature
Fibonacci 十三世紀的義大利數學家費伯那奇 (Fibonacci)提出了一個有趣的問題:假定一對兔子出生滿兩個月就可以生一對小兔子,之後每一個月又可以再生一對小兔子。假定現在有一對剛生下來的小兔子,請問一年以後應該有幾對兔子? 時間(月) 初生兔子(對) 成熟兔子(對) 兔子總數(對) 1 0 2 3 4 5 6 8 http://www.nmns.edu.tw/public/exhibit/2007/play/5.htm
Fibonacci sequence i 1 2 3 4 5 6 … 1000 f
The magic of Fibonacci numbers | Arthur Benjamin https://www.youtube.com/watch?v=SjSHVDfXHQ4