2837 /www/nrich/html/content/id/2837/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> Jack had 5 cards in a pile on a table. He gave me the top card, and then placed the next card at the bottom of the pile; he then gave me the next one on the top and placed the next one after that at the bottom of his pile. He continued like this until he had given me all of the cards. I looked down and to my surprise found that Jack had given me all the cards in order: Ace, 2, 3, 4, 5. In what order (top to bottom) did Jack originally have the cards in the pile on the table?<br></br>  <br></br> If you liked this problem, <a href="http://nrich.maths.org/8665">here is an NRICH task</a> which challenges you to use similar mathematical ideas.  <br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">The original order was Ace, 5, 2, 4, 3.<br></br><br></br></mdoxml> 2 5 0 1 0 0 0 Weekly Problem 32-2005 Using, Applying and Reasoning about Mathematics Working systematically Sequences, Functions and Graphs Sequences