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) 10
C) $\frac { 1 } { 4 }$
D) 4

Question

Quizplus · Accepted Answer

The common ratio $r$ can be found by dividing any term in the sequence by the term preceding it. For example, $\frac{16}{3} \div \frac{4}{3} = 4$ or $\frac{64}{3} \div \frac{16}{3} = 4$. Thus, the common ratio $r$ is 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 $\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \frac { 256 } { 3 } , \frac { 1024 } { 3 } , \ldots$