Bonus: An ancient king of Persia was said to have been so grateful to one of his subjects that he allowed the subject to select his own reward. The clever subject asked for a grain of rice on the first square of a chessboard, two grains on the second square, four on the next and so on. a. Construct a function that describes the number of grains of rice, G, as a function of the square, n, on the chessboard. (Note: There are 64 squares on a chess board) b. How many grains of rice would the king have to provide on the last square? c. If a grain of rice weighs .021 grams, how many kilograms of rice would the king have to provide in total?