Determine whether the series converges or diverges. If it converges, find its sum.
A) 9
D) diverges

Question

Determine whether the series converges or diverges. If it converges, find its sum. 
A) 9 
D) diverges

Quizplus · Accepted Answer

This series is a geometric series with first term 9 and common ratio 3/4. Since the absolute value of the common ratio is less than 1, the series converges, and its sum is given by the formula S = a/(1-r), where a is the first term and r is the common ratio. Plugging in a=9 and r=3/4, we get S = 9/(1-3/4) = 11.

Determine Whether the Series Converges or Diverges