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Algebra

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Difficult

Geometric Series Starts At 4

ALGEBR-IYN4ME

Find the sum of the terms from $n=4$ to $n=11$ of the geometric sequence:

$$a_n=58\left( \frac{2}{3} \right)^{n-1}$$

A

$174$

B

$\cfrac{2925520}{59049}$

C

$\cfrac{17385964}{59049}$

D

$-\cfrac{585104}{59049}$

E

None of the above