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Find the sum of the first 16 terms in the sequence defined by the formula:

$$a_{n}=6048\left( \frac{1}{2}\right)^{n-1}$$

A

$\cfrac{12386115}{1024}$

B

$\cfrac{4128831}{1024}$

C

$\cfrac{6192963}{512}$

D

$12096$

E

None of the above

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