\[\Large f(n)= \left \lfloor 2^{n+\frac{3}{2}} \right \rfloor - 2 \left \lfloor 2^{n+\frac{1}{2}} \right \rfloor\]

The above function is defined on the natural numbers. Which of the following describes the periodicity of the function?

- A. Eventually periodic with period in \([1,10^3)\).
- B. Eventually periodic with period in \([10^3,10^6)\).
- C. Eventually periodic with period in \([10^6,\infty)\).
- D. Not eventually periodic.

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