The next number after 65536, 256, 16, is 4, 2.
What is a number sequence?
- A number sequence is a list of numbers that are connected by a rule.
- If you work out the rule, you can work out the next numbers in the sequence.
- An Arithmetic Sequence is made by adding the same value of a number each time with the last number.
- A Geometric Sequence is made by multiplying by the same value of number each time with the last number.
\($x_{1}=65536$x_{n+1}=\sqrt{x_{n}}\\$x_{1}=65536\\$x_{2}=\sqrt{65536}=256\\$x_{3}=\sqrt{256}=16\\$x_{4}=\sqrt{16}=4\\$x_{5}=\sqrt{4}=2\\$x_{6}=\sqrt{2}$\)
No infinite sequence is determined purely by its first few terms.
To learn more about the number sequence refer to:
https://brainly.com/question/12246947
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