Find the Values of X for Which the Geometric Series $$\sum _ { n = 0 } ^ { \infty } ( 7 x + 1 ) ^ { n }$$

Multiple Choice

Find the values of x for which the geometric series converges.
- $$\sum _ { n = 0 } ^ { \infty } ( 7 x + 1 ) ^ { n }$$

A) $0 < x < \frac { 1 } { 7 }$
B) $- \frac { 1 } { 7 } < x < \frac { 1 } { 7 }$
C) $- \frac { 2 } { 7 } < x < 0$
D) $0 < x < \frac { 2 } { 7 }$