Question

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

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

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
3.Every year that a car is on the road it loses value. If a car loses 15 percent of its value each year and its beginning value is $24,500, what will the value of the car be after five years?(1 point)
Responses

$12,789.15
$12,789.15

$10,870.78
$10,870.78

$49,278.25
$49,278.25

$9240.16
2.Which exponential function can be used to show the geometric sequence 40, 160, 640, . . . ?(1 point)
Responses

an=4(40)n−1
a subscript n baseline equals 4 left parenthesis 40 right parenthesis superscript n minus 1 baseline

an=40(4)n−1
a subscript n baseline equals 40 left parenthesis 4 right parenthesis superscript n minus 1 baseline

an=40+4(n−1)
a subscript n baseline equals 40 plus 4 left parenthesis n minus 1 right parenthesis

an=40(120)n−1
1.Use the table to answer the question.

This table shows the relationship between the number of minutes elapsed and the number of messages sent.
Minutes Messages Sent
0 0
1 3
2 9
3 27
4 81
The table shows how a text message went viral. What point should be graphed to represent the third term in the geometric sequence?

(1 point)
Responses

(4,81)
left parenthesis 4 comma 81 right parenthesis

(3,27)
left parenthesis 3 comma 27 right parenthesis

(3,1)
left parenthesis 3 comma 1 right parenthesis

(2,9)

Answer 1

1. (from the table) (3, 27)

2. an = 40(4)^{n−1}

3. V = 24,500(0.85)^5 = $10,870.78 (approx.)

4. f(x) = 6(3)^{x−1}