Provide an appropriate response.
-Let $f ( x ) = 8 \left( 6 ^ { x } \right)$, and consider the sequence $f ( 1 ) , f ( 2 ) , f ( 3 ) , \ldots$ Is this a geometric sequence, and if so, what is the common ratio?
A) Yes; $x$
B) Yes; 8
C) No
D) Yes; 6

Question

Quizplus · Accepted Answer

The sequence is geometric because each term is obtained by multiplying the previous term by a constant ratio. The common ratio is found by dividing any term by the previous term: $f(2)/f(1) = 8(6^2)/8(6^1) = 6$, indicating that the common ratio is 6.

Provide an Appropriate Response f(x)=8(6x)f ( x ) = 8 \left( 6 ^ { x } \right)f(x)=8(6x)

Provide an Appropriate Response $f ( x ) = 8 \left( 6 ^ { x } \right)$