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If tn denotes the result after the nth transformation then tn = 2n+1 - 1 for n = 1, 2, 3, ...

So t50 = 251 - 1

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Q: What number do you end up with if starting with the number 1 you double the number and add 1 each time for 50 goes ie 1 3 7 15 31 63?
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