Quantitative Literacy

Question

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 of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, what is the total weight in tons of all the wheat that will be placed on the first 5252 ​squares? (Assume that each grain of wheat weighs​ 1/7000 pound. Remember that 1 tonequals=2000 ​lbs.) The total weight of the wheat that will be placed on the first 5252 squares is nothing tons. ​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to six decimal places as​ needed.)

Answer 1

S₅₂ = 1(1 - 2⁵²) / (1 - 2)

S₅₂ = 1(1 - 4503599627000000) / (1 - 2)