1 (Write the invertendo property of 2:4=8:16)
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17, and the sequence stops there.
The sequence consists of the roots, in ascending order, of the fifth-degree polynomial which can be factored into (x - 2)(x - 4)(x - 8)(x - 16)(x - 17) = 0.
If you think about it, there are infinitely many numbers which can be the following number in that sequence - and the sequence can be arbitrarily long.
Most likely, that wasn’t what you meant. Perhaps you were looking for the 5th number in the sequence 2^n. If that’s the case, I’d advise you to explicitly state that’s what you’re looking for, and the problem becomes much easier to solve. If the problem was to recognize the sequence pattern, as you can see, there are infinitely many of them.
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