Find the Radius of Convergence of the Series $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { ( x + 10 ) ^ { n } } { n 6 ^ { n } }$$

Multiple Choice

Find the radius of convergence of the series. Select the correct answer.
$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { ( x + 10 ) ^ { n } } { n 6 ^ { n } }$$

A) $( - 8,6 ]$
B) $( 2,14 ]$
C) $( - 14 , - 2 )$
D) $[ - 16 , - 4 )$
E) $[ - 1,1 ]$