Find the common ratio for the geometric sequence.
-$$\frac { 3 } { 4 } , \frac { 3 } { 16 } , \frac { 3 } { 64 } , \frac { 3 } { 256 } , \frac { 3 } { 1024 } , \ldots$$
A) 4
B) $\frac { 1 } { 40 }$
C) $\frac { 1 } { 4 }$
D) 40

Question

Quizplus · Accepted Answer

The common ratio of a geometric sequence is found by dividing any term by the previous term. For this sequence, dividing the second term ($\frac{3}{16}$) by the first term ($\frac{3}{4}$) gives $\frac{3}{16} \div \frac{3}{4} = \frac{3}{16} \times \frac{4}{3} = \frac{1}{4}$, indicating that the common ratio is $\frac{1}{4}$.

Find the Common Ratio for the Geometric Sequence 34,316,364,3256,31024,…\frac { 3 } { 4 } , \frac { 3 } { 16 } , \frac { 3 } { 64 } , \frac { 3 } { 256 } , \frac { 3 } { 1024 } , \ldots43​,163​,643​,2563​,10243​,…

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