Question

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

f(x)=6(3)x

f left parenthesis x right parenthesis equals 6 left parenthesis 3 right parenthesis superscript x baseline

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−1

f left parenthesis x right parenthesis equals 6 left parenthesis 3 right parenthesis superscript x minus 1 baseline

f(x)=3(6)x−1

Answer 1

f(x) = 6(3)^(x−1)

Reason: a1 = 6 and common ratio r = 18/6 = 3, so the nth term is a_n = 6·3^(n−1). (If x starts at 0 you could write 6·3^x.)