Provide an appropriate response.
-Let f( $f ( x ) = 9 \left( 2 ^ { x } \right)$ ), and consider the sequence f(1), f(2), f(3), . . . . Is this a geometric sequence, and if so, what is the common ratio?
A) Yes; x
B) No
C) Yes; 2
D) Yes; 9

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence because each term is obtained by multiplying the previous term by a constant. The common ratio is 2, as each term is obtained by multiplying the previous term by $2^1 = 2$. For example, $f(2) = 9(2^2) = 9 \cdot 4$ and $f(1) = 9(2^1) = 9 \cdot 2$, so the ratio of $f(2)$ to $f(1)$ is $4:2 = 2$.

Provide an Appropriate Response f(x)=9(2x)f ( x ) = 9 \left( 2 ^ { x } \right)f(x)=9(2x)

Provide an Appropriate Response $f ( x ) = 9 \left( 2 ^ { x } \right)$