If the sequence is geometric, find the common ratio. If the sequence is not geometric, say so.
-$$\frac { 3 } { 4 } , \frac { 3 } { 16 } , \frac { 3 } { 64 } , \frac { 3 } { 256 } , \frac { 3 } { 1,024 }$$
A) $\frac { 1 } { 4 }$
B) 4
C) 40
D) $\frac { 1 } { 40 }$

Question

Quizplus · Accepted Answer

The common ratio is found by dividing any term by the previous term, e.g., $\frac{3/16}{3/4} = \frac{1}{4}$, which is consistent across all consecutive terms, making the sequence geometric with a common ratio of $\frac{1}{4}$.

If the Sequence Is Geometric, Find the Common Ratio 34,316,364,3256,31,024\frac { 3 } { 4 } , \frac { 3 } { 16 } , \frac { 3 } { 64 } , \frac { 3 } { 256 } , \frac { 3 } { 1,024 }43​,163​,643​,2563​,1,0243​

If the Sequence Is Geometric, Find the Common Ratio $\frac { 3 } { 4 } , \frac { 3 } { 16 } , \frac { 3 } { 64 } , \frac { 3 } { 256 } , \frac { 3 } { 1,024 }$