Finite geometric series word problems

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Priyanka wants to recreate the story of the rice and the chessboard, but she only has a tic-tac-toe board (which has 9 squares).
If she puts 1 grain of rice on the first square of the tic-tac-toe board, 2 on the second, 4 on the third, and so on, doubling the amount for each square, 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
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