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

Question

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

Quizplus · Accepted Answer

The series has a common ratio of 0.5, which is between -1 and 1, so the series converges. To find its sum, we can use the formula for the sum of an infinite geometric series:

sum = a/(1-r)

where a is the first term and r is the common ratio. In this case, a = 44 and r = 0.5, so

sum = 44/(1-0.5) = 88.

Therefore, the sum of the infinite geometric series is 88.

Determine Whether the Infinite Geometric Series Converges or Diverges