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# Infinite Sum Halving Series

ALGEBR-XQGNYK

Find the sum of the infinite terms in the sequence defined by the formula:

$$a_{n}=100\left( \frac{1}{2} \right)^{n-1}$$

A

$50$

B

$\cfrac{200}{3}$

C

$-\cfrac{1}{198}$

D

$200$

E

None of the above