Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } 9 } { 7 n }$
A) converges; Integral Test
B) converges; Ratio Test
C) converges; Alternating Series Test
D) diverges; Ratio Test
E) diverges; Integral Test

Question

Quizplus · Accepted Answer

The series is an alternating series with decreasing terms and $\lim _{n	o \infty }\frac {9} {7n}=0$. Therefore, the series converges by the Alternating Series Test.

Determine the Convergence or Divergence of the Series Using Any ∑n=1∞(−1)n97n\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } 9 } { 7 n }∑n=1∞​7n(−1)n9​

Determine the Convergence or Divergence of the Series Using Any $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } 9 } { 7 n }$