Identify the most appropriate test to be used to determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { 15 ( - 1 ) ^ { n + 1 } } { n }$ converges or diverges.
A) Ratio Test
B) $\rho$-Series Test
C) Alternating Series Test
D) Telescoping Series Test
E) Root Test

Question

Quizplus · Accepted Answer

The series is alternating and the terms decrease in absolute value. Therefore, the Alternating Series Test can be used to determine convergence.

Identify the Most Appropriate Test to Be Used to Determine ∑n=1∞15(−1)n+1n\sum _ { n = 1 } ^ { \infty } \frac { 15 ( - 1 ) ^ { n + 1 } } { n }∑n=1∞​n15(−1)n+1​

Identify the Most Appropriate Test to Be Used to Determine $\sum _ { n = 1 } ^ { \infty } \frac { 15 ( - 1 ) ^ { n + 1 } } { n }$