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

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

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The answer to this problem is x = -5

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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

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The equation is linear.

Step-by-step explanation:

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linear

Step-by-step explanation:

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A.

Step-by-step explanation:

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

Answer:

Circumcenter

Step-by-step explanation:

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

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Answer:

5

Step-by-step explanation:

rate of change = slope = 5

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

Answers

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

The sum of 5 consecutive even numbers is 100.
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Answers

Answer: The number is 16

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 :)

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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.

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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Answer:

4 fancy and 5 plain

Step-by-step explanation:

Malcolm has $3600 dollars in his account and makes automatic $600 monthly
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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:

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

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Answers

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

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

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

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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 ,

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Substituting the values in the equation , we get

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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,

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

12

Step-by-step explanation:

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

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Answers

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

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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

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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ОО
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Answer:

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Step-by-step explanation:


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