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What is the next number in this sequence:\( \dfrac12, 2, 5, 11, 23, 47, 95, \ldots\)?

 Apr 9, 2023
 #1
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The next number is 131.

 Apr 9, 2023
 #3
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I believe this is a typo, because after a bit of thinking, wouldn't the next number be 191?

moneydude242  Apr 9, 2023
 #2
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Your sequence is:

 

1/2, 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, ...etc.

 

The closed form of the sequence is:

 

a(n) = 1/4 * (3 * 2^n - 4) (for any term)

 Apr 9, 2023
 #4
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Thank you very much for your explanation! I got the answer before this, but it is also nice to learn the equation!

moneydude242  Apr 9, 2023

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