Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
-$\sum _ { k = 1 } ^ { \infty } 4 \left( \frac { 3 } { 2 } \right) ^ { k - 1 }$
A) Converges; 12
B) Converges; 4
C) Diverges
D) Converges; 16

Question

Quizplus · Accepted Answer

The series diverges because the common ratio $\frac{3}{2}$ is greater than 1.

Determine Whether the Infinite Geometric Series Converges or Diverges ∑k=1∞4(32)k−1\sum _ { k = 1 } ^ { \infty } 4 \left( \frac { 3 } { 2 } \right) ^ { k - 1 }∑k=1∞​4(23​)k−1

Determine Whether the Infinite Geometric Series Converges or Diverges $\sum _ { k = 1 } ^ { \infty } 4 \left( \frac { 3 } { 2 } \right) ^ { k - 1 }$