Determine the convergence or divergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { 900 }$ . Use a symbolic algebra utility to verify your result.
A)The series converges.
B)The series diverges.

Question

Quizplus · Accepted Answer

The series is a geometric series with a common ratio of $6$ and a first term of $\frac{6}{900}$. Since the common ratio $|r| = 6 > 1$, the series diverges.

Determine the Convergence or Divergence of the Series ∑n=1∞6n900\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { 900 }∑n=1∞​9006n​

Determine the Convergence or Divergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { 900 }$