Find the common ratio for the geometric sequence.
-$2 , \frac { 6 } { 5 } , \frac { 18 } { 25 } , \frac { 54 } { 125 } , \ldots$
A) $\frac { 2 } { 3 }$
B) $\frac { 5 } { 3 }$
C) $\frac { 3 } { 5 }$
D) $\frac { 1 } { 5 }$

Question

Quizplus · Accepted Answer

The common ratio can be found by dividing any term in the sequence by the term preceding it. For example, $\frac{6}{5} ÷ 2 = \frac{3}{5}$, which is the same for all subsequent terms, indicating the common ratio is $\frac{3}{5}$.

Find the Common Ratio for the Geometric Sequence 2,65,1825,54125,…2 , \frac { 6 } { 5 } , \frac { 18 } { 25 } , \frac { 54 } { 125 } , \ldots2,56​,2518​,12554​,…

Find the Common Ratio for the Geometric Sequence $2 , \frac { 6 } { 5 } , \frac { 18 } { 25 } , \frac { 54 } { 125 } , \ldots$