Find the Interval of Convergence and Radius of Convergence of the Power

Find the interval of convergence and radius of convergence of the power series: $$\sum _ { k = 0 } ^ { \infty } \frac { 1 } { 1 + 5 ^ { k } } x ^ { k }$$

A) R = 1, interval of convergence: (3, 5)
B) R = 3, interval of convergence: (-3, -1)
C) R = 5, interval of convergence: (-5, 5)
D) R = 5, interval of convergence: (-5, -3)