Math 102 - Problem Solving - Fall 2007Final Project - Sessa’s Wheat

The game of chess was invented by a mathematician named Sessa in the fi fteenth century. The story goes that the King of Persia was so delighted by the game that he offered to let Sessa name his own reward. Sessa replied that he would take one grain of wheat for the fi rst square on his 8 by 8 chessboard, two grains for the second square, four grains for the third square and so on, doubling the number of grains each time until the 64th square was reached. The king immediately called for a bag of grain to fi ll this simple request, but the reward turned out to be slightly more than he anticiapated.

(1) Calculate how much wheat the King had to give to Sessa. (2) Calculate how many Gampel Pavillions will be required to hold this amount of wheat.

The solution is due the last week of classes with a detailed write-up and a presentation in class. The presentation may include any aids you with (i.e. PowerPoint, posters, etc.).

The solution is due the last week of classes with a detailed write-up and appresentation in class. The ppresentation mayy include anyy aids yyou with (i.e.PowerPoint,, pposters,, etc.)).