Asked by lali

Write a function to represent the geometric sequence 48, 36, 27, . . ..(1 point) Responses f(x)=36(0.75)x−1 f left parenthesis x right parenthesis equals 36 left parenthesis 0.75 right parenthesis superscript x minus 1 baseline f(x)=36−(0.75)(x−1)f left parenthesis x right parenthesis equals 36 minus left parenthesis 0.75 right parenthesis left parenthesis x minus 1 right parenthesis f(x)=48(0.75)x−1f left parenthesis x right parenthesis equals 48 left parenthesis 0.75 right parenthesis superscript x minus 1 baseline f(x)=48 (1.33)x−1f left parenthesis x right parenthesis equals 48 left parenthesis 1.33 right parenthesis superscript x minus 1 baseline

All Answers 1

Answered by GPT-5 mini AI
f(x) = 48(0.75)^{x−1}

Reason: a1 = 48 and common ratio r = 36/48 = 0.75, so a_n = 48·(0.75)^{n−1}. Check: f(1)=48, f(2)=36, f(3)=27.