Understanding and solving problems with the formula for a finite geometric series.
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Burian wants to recreate the story of the rice and the chessboard, but he only has a backgammon board (which has 24 points).
If he puts 1 grain of rice in the first point of the backgammon board, 2 on the second, 4 on the third, and so on, doubling the amount for each point, how many total grains of rice will be on the board?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i