Determine the convergence or divergence of the series. $\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 3 ^ { - n } }$
A) cannot be determined from the methods in the chapter
B) Diverges
C) Converges

Question

Quizplus · Accepted Answer

The given series is a geometric series with a common ratio of $3$, which is greater than $1$. Therefore, the series diverges.

Determine the Convergence or Divergence of the Series ∑n=0∞53−n\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 3 ^ { - n } }∑n=0∞​3−n5​

Determine the Convergence or Divergence of the Series $\sum _ { n = 0 } ^ { \infty } \frac { 5 } { 3 ^ { - n } }$