3 years ago

65536, 256, 16, What is the next number?

1 answer:

7 0

Hello,

$x_{1} =65536\\
 x_{n+1} =\sqrt{ x_{n}}\\\\

 x_{1}=65536\\
 x_{2} =\sqrt{65536}=256\\
 x_{3} =\sqrt{256}=16\\
 x_{4} =\sqrt{16}=4\\
 x_{5} =\sqrt{4}=2\\
 x_{6} =\sqrt{2}\\
...$
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