February 21st, 2005, 11:23 am
Not so sure about the fourth question, but I beleive it went something like this:You have a chess board (a square lattice of 8x8). In the "first" square you put one coin, in the "second" you put two coins, in the "third" you put four coins, and so on... If you fill the whole board like this (the 64 squares), how many coins are on the board?(The answer is obviously the sum of 2^n with n running from 0 to 63, and you can use the limit of a geometric series to know the value of this, though, as I mentioned, there are other methods to solve it)