Use the Ratio Test to Determine the Convergence or Divergence$$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 ) ^ { 8 n } } { ( 7 n + 1 ) ! }$$

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The Answer of Use the Ratio Test to Determine the Convergence or Divergence$$\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 ) ^ { 8 n } } { ( 7 n + 1 ) ! }$$

Use the Ratio Test to Determine the Convergence or Divergence $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 ) ^ { 8 n } } { ( 7 n + 1 ) ! }$

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Use the Ratio Test to Determine the Convergence or Divergence ∑n=0∞(−1)n(7)8n(7n+1)!\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 ) ^ { 8 n } } { ( 7 n + 1 ) ! }n=0∑∞​(7n+1)!(−1)n(7)8n​

Definitions:

Use the Ratio Test to Determine the Convergence or Divergence $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 ) ^ { 8 n } } { ( 7 n + 1 ) ! }$