Find the common ratio r for the given infinite geometric sequence.
-$1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots$
A) $\frac { 1 } { 4 }$
B) 30
C) 4
D) $\frac { 1 } { 30 }$

Question

Quizplus · Accepted Answer

The common ratio $r$ of a geometric sequence is found by dividing any term by the preceding term. For this sequence, $r = \frac{1/4}{1} = \frac{1}{4}$.

Find the Common Ratio R for the Given Infinite Geometric 1,14,116,164,1256,…1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots1,41​,161​,641​,2561​,…

Find the Common Ratio R for the Given Infinite Geometric $1 , \frac { 1 } { 4 } , \frac { 1 } { 16 } , \frac { 1 } { 64 } , \frac { 1 } { 256 } , \ldots$