A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains ofwheat, on the thirdsquare, four grains ofwheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remainingsquares, how many grains of wheat should be placed on square 15

15? Also find the total number of grains of wheat on the board at this time and their total weight in pounds.(Assume that each grain of wheat weighs1/7000 pound.)

How many grains of wheat should be placed on square 15?

grains

How many total grains of wheat should be on the board after the the grains of wheat have been placed on square 15?

grains

What is the total weight of all the grains of wheat on the board after the grains of wheat have been placed on square 15?

pounds

(Round to the nearest tenth asneeded.)