Complete the Sequence

2, 3, 5, 9, 17, _ What is the next number in the sequence?




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One fine day, an intellectual man came to the emperor's court with the aim of testing Birbal's wittiness. In order to do this, he challenged Birbal to answer his question and hence prove that he was as intelligent and witty as he was said to be.
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A man desired to get into his work building, however he had forgotten his code.
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* The fourth number is one more than the second number.
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* The sum of all five numbers is 30.

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