Find the values of x for which the geometric series converges.
-$$\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( 4 \mathrm { x } ) ^ { 2 \mathrm { n } }$$
A) $| x |

Question

Find the values of x for which the geometric series converges.
-$$\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( 4 \mathrm { x } ) ^ { 2 \mathrm { n } }$$
A) $| x | < 1$
B) $| x | < 4$
C) $| x | < \frac { 1 } { 4 }$
D) $| x | < 8$

Quizplus · Accepted Answer

The Answer of Find the values of x for which the geometric series converges.
-$$\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( 4 \mathrm { x } ) ^ { 2 \mathrm { n } }$$
A) $| x | < 1$
B) $| x | < 4$
C) $| x | < \frac { 1 } { 4 }$
D) $| x | < 8$

Find the Values of X for Which the Geometric Series ∑n=0∞(−1)n(4x)2n\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( 4 \mathrm { x } ) ^ { 2 \mathrm { n } }n=0∑∞​(−1)n(4x)2n

Find the Values of X for Which the Geometric Series $\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } } ( 4 \mathrm { x } ) ^ { 2 \mathrm { n } }$