What is a formula for the nth term of the given sequence? 48, 72, 108​

Answers

Answer 1

Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]


Related Questions

Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results? Select three options. increase the sample size choose students from different grade levels choose every fourth student in all language arts classes decrease the sample size choose students whose answer to the survey question is predetermined

Answers

Answer:

- increase the sample size

- choose students from different grade levels

- choose every fourth student in all language arts classes

Your welcome :]

The three options are

increase the sample sizechoose students from different grade levelschoose every fourth student in all language arts classes

The following information should be considered:

For increasing the result validity, the sample size should be increased. The students should be selected from the distinct grade levels.Also every fourth student for all types of language should be selected.

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yo someone help me with my last question pls!!

Answers

Answer:

n7 is y

Step-by-step explanation:y

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?

Answers

It’s 15d^2 -10d is that not an answer choice?

Work out the value of angle X
Give reasons for your answers
Pls reply asap

Answers

Answer:

x = 60

Step-by-step explanation:

The value of x is 60

firstly, what we have is an equilateral triangle

For an equilateral triangle, the measure of the angle is 60

Now, looking at one of the angle at the base, we can see that the measure of angle x is an alternate angle to one of the angles at the base

Find the sum:
413+11 12
0 15 15
0 1513
0263
48-15

Answers

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

Can y’all plz help me

Answers

2r-9=-18
+9 +9
2r= -9
The answer is r=-9

Answer: 4.5

Step-by-step explains:  1) 2r - 9 = -18

                                          2r - 9 + 9 = -18 + 9

                     2)  ( 9 + 9 )      Add the numbers

                       ( -18 + 9 )    add the numbers

                                            2r = -9

3) Divide both sides of the equation by the same term

4) Cancel terms that are in both the numerator and denominator

                                            r = 9/2 = 4.5

                                                 

                                           

• Mrs. Alvarez rents skis and poles for 3 days.
What is the total cost of the rental?
• The total cost of the rental is $

Answers

The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.

How to calculate the total loan cost of Ski equipment?

To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.

For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.

$2 x 24 = $48

$48 x 3 = $144

Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.

Learn more about ski in: https://brainly.com/question/5878485

plzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

9x square -12x+4 is the answer.

Step-by-step explanation:

Apply the a+b whole square formula. a square + 2ab + b square

9x square -12x+4 is the answer.

Malcolm has $3600 dollars in his account and makes automatic $600 monthly
mortgage payments.

Answers

Answer:

I do not know if dividing or multiplying or addition

if its divideing = 6

If your doing math of addition and there is a certain amount of months add 600 to 3600 Till you add how many months there were

Step-by-step explanation:

Help due today will give brainlist

Answers

Answer:

4 fancy and 5 plain

Step-by-step explanation:

PLS HELP ME it's due today and I suck at math!!! I'll make Brainliest (also I know it's a bit hard to see) ​

Answers

Answer:

B. 8/10

Step-by-step explanation:

Answer:

The answer is D. 4/13

Step-by-step explanation:

Really need this B is perimeter D is volume if you couldn't see it.​

Answers

Answer:

B

Step-by-step explanation:

yea

Answer:

a) area

Step-by-step explanation:

well you just need to find the carpet area. carpet is just for the floor, so you don't need the perimeter, volume is for 3D figures, and surface area is for the outside of an object. carpet is a 2D figure, so the answer is a) area :)

hope this helps!

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

What value of x makes the equation below true? −2x=−36 A x=−34 B x=−38 C x=−18 D x=18

Answers

Answer:

D x = 18

Step-by-step explanation:

Given equation:

−2x = −36

Divide both sides by -2 to find x

−2x / -2 = −36 / -2

x = −36 / -2

x = 18

x = 18 makes the equation −2x = −36 true

A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the
point (0, 12)?
ОО
y=-5x+12
5x+y=12
y-12=5(x-0)
5x+y=-1

Answers

y=-5x +12 is the answer

Which is the graph of y=3/4x-3?
Graph C
Graph B
Graph A​

Answers

I believe it’s graph c :)
Graph A

Because from the y- interest which is -3, doing the slope rise over run. In this case it’s 3/4. From the y- interest you go up 3 and right 4.

Help, I tried looking it up and found nothing but random websites, pwease help

Answers

Answer:

A.

Step-by-step explanation:

.......................

Answer:

Circumcenter

Step-by-step explanation:

Suppose y is directly proportional to x. If y= 24 when x=2, what is the value of x when y= 144?

Answers

Answer:

12

Step-by-step explanation:

Because y=24 and x=2 you do the following:

144/24=6

Then, 6x2=12 because it is proportional

Or you could do 24/2=12 and 144/12=12

The sum of 5 consecutive even numbers is 100.
What is the first number in this sequence?

Answers

Answer: The number is 16

select the equation and the solution for the problem. let ( X ) represent the unknown number. a total of 48people in a sports team are riding 6 vans. how many people are riding in each van is carrying the same number of people.
(A) 48x = 6 ( x = 1/8
(B) 6x = 48 ( x = 8
(C) x + 6 = 48 ( x = 42)
(D) x - 6 = 48 ( x = 54)

Answers

Answer:

B

Step-by-step explanation:

plz help me with this q

Answers

Answer:

lenght is 6

Step-by-step explanation:

i think so

HOPE IT HELPS!!!

Could be: 6*3 9*2 18*1

Explanation: Rectangles have one side longer than the other. To get the area of a rectangle you do Length*Width. So I divided 18 by whole numbers to get multiple choices for you.

what is the rate of change for the function y= 5x+ 25

Answers

Answer:

5

Step-by-step explanation:

rate of change = slope = 5

Estimate 73,784-32,863 by first rounding each number to the nearest thousand

Answers

The answer is 40,000

The product of a number, x, and 18 is 113.4. Which equation and value of x represent this relationship?

Answers

Answer:

42

Step-by-step explanation:

Johnny left his house early in the morning for a run. he ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles west. what distance did he run?

Answers

The answer is 31 miles

The total distance ran by Johnny after he left the house is D = 31 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as D

Now , the value of D is

Substituting the values in the equation , we get

Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles

So , D = 2 + 6 + 3 + 10 + 8 + 2

On simplifying the equation , we get

D = 31 miles

Hence , the distance is D = 31 miles

To learn more about equations click :

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#SPJ2

What is the value of x in the equation 3x - 12 = -27?

Answers

The answer to this problem is x = -5


4 km
3 km
What is the length of the hypotenuse?

Answers

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

Help me pls ASAP thank you have a great day!!

Answers

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

is this equation linear or exponential
f(x)=2x+1

Answers

Answer:

The equation is linear.

Step-by-step explanation:

Notice that variable x is on the first degree.

Answer:

linear

Step-by-step explanation:

uiwue7uwiiwuw8

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