+75 What is the next number in this sequence:\( \dfrac12, 2, 5, 11, 23, 47, 95, \ldots\)?
+75 I believe this is a typo, because after a bit of thinking, wouldn't the next number be 191?
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)
+75 Thank you very much for your explanation! I got the answer before this, but it is also nice to learn the equation!
