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AP® Calculus AB-BC

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Moderate

Sum Of Series

APCALC-GAMHIK

Find the value of the series:

$$\sum _{ n=0 }^{ \infty }\left[{ ( 0.1 ) ^{ n }+( 0.5 ) ^{ n } } \right]$$

A

$\cfrac{10}{9}$

B

$\cfrac{28}{9}$

C

$\cfrac{14}{33}$

D

$\cfrac{52}{33}$