Question

Write a function to represent the geometric sequence 6, 18, 54, . . . .(1 point)
Responses

f(x)=3(6)x−1
𝑓
(
𝑥
)
=
3
(
6
)
𝑥
−
1
f left parenthesis x right parenthesis equals 3 left parenthesis 6 right parenthesis superscript x minus 1 baseline

f(x)=3(6)x
𝑓
(
𝑥
)
=
3
(
6
)
𝑥
f left parenthesis x right parenthesis equals 3 left parenthesis 6 right parenthesis superscript x baseline

f(x)=6(3)x
𝑓
(
𝑥
)
=
6
(
3
)
𝑥
f left parenthesis x right parenthesis equals 6 left parenthesis 3 right parenthesis superscript x baseline

f(x)=6(3)x−1

Answer 1

f(x) = 6(3)^{x−1}

Reason: It's a geometric sequence with first term 6 and common ratio 3, so a_n = 6·3^{n−1}.