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

Question

Quizplus · Accepted Answer

The common ratio in a geometric sequence is found by dividing any term by the preceding term. For this sequence, dividing the second term ($\frac{1}{4}$) by the first term (1) gives $\frac{1}{4}$, which is the common ratio.

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