Determine If the Series Converges or Diverges; If the Series$$\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$$

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The Answer of Determine If the Series Converges or Diverges; If the Series$$\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$$

Determine If the Series Converges or Diverges; If the Series $\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$

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Determine If the Series Converges or Diverges; If the Series ∑n=0∞sin⁡(n+1)π28n\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }n=0∑∞​8nsin2(n+1)π​​

Definitions:

Determine If the Series Converges or Diverges; If the Series $\sum _ { n = 0 } ^ { \infty } \frac { \sin \frac { ( n + 1 ) \pi } { 2 } } { 8 ^ { n } }$