Mathematices+activity+2

Once upon a time, in the far away kingdom, there was a kind and rich king. However, one day, many goblins came to the kingdom and destroy all the things. Many kind people were killed. So the king must find the way to solve this problem. King was so stressful. But thankfully, at the time, One man came and extirpated all the goblins. The king was so thankful that he decided to give him

1,000,000 US dollars But the man said ; can I just have a double-chass board of money? for example, 1$ for one day I'll get double of 1$ so 2$, so the sum will be 3$ The third day, double of 2$ so 4$. so the sum will be 8$. .... ....  ....  ....

Which one do you think will be the more money?! Guess the answer!!!!

---answer There are a rule. Look the table.
 * 1 || 3 || 8 || 15 || 24 ||
 * || +2 || +5 || +7 || +9 ||
 * 1 || 2 || 3 || 4 || 5 ||

So, You can find the rule.

'Y' means money for you to get, and 'X' means the number of room in the chess board. In chessboard, There are 64 rooms. so

= 18446744073709551616-1 =18446744073709551615

It is bigger than 1,000,000,000

18446744073709551615-1,000,000,000=18446744072709551615 more!!!!~

Anyway, the king got bankrupted. The man was the smart though. But that made me difficult to calculated it. I enjoyed the time.