Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
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A)Converges; 12
B)Converges; 16
C)Converges; 4
D)Diverges

Question

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
-
A)Converges; 12 
B)Converges; 16 
C)Converges; 4 
D)Diverges

Quizplus · Accepted Answer

The common ratio is 1/3 which is less than 1 in absolute value, therefore the infinite geometric series converges. The sum can be found using the formula S = a/(1-r), where a is the first term and r is the common ratio. Plugging in the values, we get S = 9/(1-(1/3)) = 12.

Determine Whether the Infinite Geometric Series Converges or Diverges