Find the sum of the infinite geometric series: $3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots$
A) $\frac { 7 } { 4 }$
B) 20
C) 50
D) no sum is possible

Name: Find the sum of the infinite geometric series: $3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots$ A) $\frac { 7 } { 4 }$ B) 20 C) 50 D) no sum is possible
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Question

Quizplus · Accepted Answer

The common ratio of the series is $\frac{5}{4}$, which is greater than 1. Therefore, the series does not converge and no sum is possible.

Find the Sum of the Infinite Geometric Series 3+154+7516+…3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots3+415​+1675​+…

Find the Sum of the Infinite Geometric Series $3 + \frac { 15 } { 4 } + \frac { 75 } { 16 } + \ldots$