A Circular Game Board Is Shown Below

question 11

Multiple Choice

A circular game board is shown below. The board consists of ten different regions. Half of the regions are black and half of the regions are white. Suppose that you start on one of the white regions and you move around the board clockwise. On the first region you place 3 grains of rice, on the 2^nd region you place 12 grains of rice, on the 3^rd regions you place 48 grains of rice, and so on following the pattern. You stop placing grains of rice after you reach the 10^th region. What would be the difference between the total number of grains found on white regions and the total number of grains found on black regions?

• A) 262144
• B) 524288
• C) 629145
• D) 1048575
• E) None of the above.

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