Choose the one alternative that best completes the statement or answers the question.
Determine whether the sequence is geometric. If so, find the value of r.
-$$40,5 , \frac { 5 } { 8 } , \frac { 5 } { 64 } , \ldots$$
A) geometric; $r = \frac { 1 } { 8 }$
B) geometric; $r = 8$
C) geometric; $r = \frac { 5 } { 8 }$
D) not geometric

Question

Choose the one alternative that best completes the statement or answers the question.
Determine whether the sequence is geometric. If so, find the value of r.
-$$40,5 , \frac { 5 } { 8 } , \frac { 5 } { 64 } , \ldots$$ 
A) geometric; $r = \frac { 1 } { 8 }$
B) geometric; $r = 8$
C) geometric; $r = \frac { 5 } { 8 }$
D) not geometric

Quizplus · Accepted Answer

To determine if a sequence is geometric, each term is divided by the previous term to find a common ratio (r). For this sequence: $\frac{5}{40} = \frac{1}{8}$, $\frac{\frac{5}{8}}{5} = \frac{1}{8}$, and $\frac{\frac{5}{64}}{\frac{5}{8}} = \frac{1}{8}$. Thus, the sequence is geometric with $r = \frac{1}{8}$.

Choose the One Alternative That Best Completes the Statement or Answers