Find the common ratio r for the given infinite geometric sequence.
-$\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots$
A) 12
B) $\frac { 1 } { 4 }$
C) 4
D) 10

Question

Quizplus · Accepted Answer

The common ratio $r$ of a geometric sequence can be found by dividing any term by the preceding term. For this sequence, dividing the second term $\frac{16}{3}$ by the first term $\frac{4}{3}$ gives $r = 4$.

Find the Common Ratio R for the Given Infinite Geometric 43,163,643,2563,10243,…\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots34​,316​,364​,3256​,31024​,…

Find the Common Ratio R for the Given Infinite Geometric $\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots$