Provide an appropriate response.
-For $\frac { 14 } { 13 } , x , \frac { 8 } { 11 }$ to be a geometric sequence, $x$ must be:
A) $\sqrt { \frac { 104 } { 154 } }$

B) $\sqrt { \frac { 112 } { 143 } }$

C) $\sqrt { \frac { 143 } { 112 } }$

D) $\sqrt { \frac { 154 } { 104 } }$

Question

Provide an appropriate response.
-For $\frac { 14 } { 13 } , x , \frac { 8 } { 11 }$ to be a geometric sequence, $x$ must be:
A) $\sqrt { \frac { 104 } { 154 } }$

B) $\sqrt { \frac { 112 } { 143 } }$

C) $\sqrt { \frac { 143 } { 112 } }$

D) $\sqrt { \frac { 154 } { 104 } }$

Quizplus · Accepted Answer

In a geometric sequence, the ratio between consecutive terms is constant. Thus, $\frac{x}{\frac{14}{13}} = \frac{\frac{8}{11}}{x}$. Solving for $x$, we find $x = \sqrt{\frac{112}{143}}$.

Provide an Appropriate Response 1413,x,811\frac { 14 } { 13 } , x , \frac { 8 } { 11 }1314​,x,118​

Provide an Appropriate Response $\frac { 14 } { 13 } , x , \frac { 8 } { 11 }$