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Mathematics, 30.11.2020 06:40 tangia

alice and bob take turns to write numbers on a blackboard Alice starts by writing an integral a between - 100 and 100 inclusive on the board. On each of Bob's turns he writes twice the number Alice wrote last. On each of Alice subsequent turns she writes the number 45 less than the number Bob wrote last. At some point the number a is written on the board for the second time. Find the possible value of a

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