what is a formula for the nth term of the given sequence?

12,6,3...

Answers

Answer 1

Given:

The sequence is:

12, 6, 3, ...

To find:

The formula for the nth term of the given sequence.

Solution:

We have,

12, 6, 3, ...

Here, first term is 12.

Clearly, [tex]\dfrac{6}{12}=\dfrac{3}{6}[/tex]. Since the given sequence has a common ratio [tex]r=dfrac{1}{2}[/tex], therefore it is a geometric sequence.

The formula for the nth term of the given sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

[tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex]

Therefore, the formula for the nth term of the given sequence is [tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex].

Answer 2

Answer:

Step-by-step explanation:

What Is A Formula For The Nth Term Of The Given Sequence?12,6,3...

Related Questions

une boxes.
Find:
5% of 90 m =
m
25% of 88 kg =
kg
75% of 264 =

Answers

Answer:

1) 5% of 90m= 4.5m

2)25% of 88kg = 22kg

3) 75% of 264= 198

Step-by-step explanation:

1) 90m = 100% (divide by 10)

9 = 10% (divide by 2)

4.5 = 5%

2) 88kg = 100% (keep on dividing by 2)

44kg = 50%

22kg=25%

3) 264 = 100%

132 = 50%

66 = 25% (add)

198=75%

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

Write a positive or negative integer that represents the situation.

The temperature falls 14 degrees.

An integer that represents the situation is what?

Answers

Answer:

im not sure sorry! lol

Step-by-step explanation:

sorry!

Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?

Answers

Answer:

Yolanda is correct.

Step-by-step explanation:

If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.

The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.

A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9

Answers

Answer:

1/12

Step-by-step explanation:

Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.

Answers

answer is 30°

50-20=30°

hope it helps

What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10

Answers

Answer:

and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d

Step-by-step explanation:

ishdbd works zjsbdjs s nsie djsid

2(x + 3)=x - 4
help me ​

Answers

Answer:

x = -10

Step-by-step explanation:

2(x+3) = x-4 --> multiply (x+2) times 2

2x+6 = x - 4 --> subtract x from both sides

x+6 = -4 --> subtract 6 from both sides

x = -10

Answer:

x = -10

Step-by-step explanation:

Simplify both sides of the equation.

2 (x+3) = x − 4

(2) (x) + (2) (3) = x + −4 (Distribute)

2x + 6 = x + − 4

2x + 6 = x − 4

Subtract x (1x) from both sides

2x + 6 − x = x − 4 − x

x + 6 = − 4

Subtract 6 from both sides

x + 6 − 6 = − 4 − 6

x = -10

Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)

Answers

Answer:

7y^4+3y-5

Step-by-step explanation:

Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17

Answers

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

My little cousin took a STAR math test and she wanted to know if her score is good she got a 923 score on her STAR math test and she is in 8th grade did she do good or? She was really curious and wanted me to answer this question lol

Answers

I guesse she did pretty good lol :D

write a equation of the line that passes through each pair of points (1,0) (5,-1)

Answers

Answer:

Slope : -1/4

Equation: y = -x + 1/4

Step-by-step explanation:

You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.


The weight of the load varies
directly with the number of boxes
in the load. A load of 18 boxes
weighs 600 lbs. What does a load
of 12 boxes weigh?

Answers

The weight varies directly with the number of boxes, so this means every box weighs the same amount.

Find the weight of a box by dividing the known weight by the number of boxes:

600 pounds / 16 boxes = 37.5 pounds per box.

Now multiply the weight per box by the number of boxes:

37.5 pounds x 12 boxes = 450 pounds

12 boxes weigh 450 pounds

The area of the triangle below is 8.91 square inches. What is the length of the base?

2.2 in is the height will mark BRAINLIEST!!!!!!

Answers

I think the answer is 19.602 hope this helps!

A partially completed equation for a line is shown below. If the line passes through the point (-4, 6). Write the equation for the line.

y=-3x+by=−3x+b

Answers

Answer:

Nice

Step-by-step explanation:

Karma..... ;)

Nice hope this helps

A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.

Answers

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

Guys I need help plz! ( it would mean a lot if u help )

Answers

Answer:

━☆゚.*・。゚X>6

Step-by-step explanation:

Here,X is greater than 6

Answer:

x > 6

Hope this helped <3

What is the range of the function shown on the graph above

Answers

Answer:

d

Step-by-step explanation:

there isnt an arrow saying it keeps going past 10

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
Ola chooses a sweet at random .what is the probability that she pick either a yellow or orange sweet ?​

Answers

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Add all the sweets together ( that will be your denominator )

5+4+8+4+3= 24

The probability she will pick and yellow and orange ( add those numbers together)

Yellow + orange = Numerator

5+4=9

How you answer should be lay out :

[tex]\frac{Orange+ yellow sweets}{Total amount of sweets}[/tex]

Answer:

9/24

Step-by-step explanation:

add the sweets (for denominator) 5+4+8+4+3 =24 then add yellow +  orange (which is 9)

Divide using long division.
8x3 - 18x2 + 21x - 20 = 2x - 3

Answers

Answer:

[tex] \frac{29}{19} [/tex]

Step-by-step explanation:

Hopefully that is correcr

Which relationships describe angles 1 and 2?
Select each correct answer.​

Answers

Answer:

3

Step-by-step explanation:

Someone please help me answer this

Answers

Answer:

2^10

Step-by-step explanation:

When multipying indices, if the base is the same then just add the indices.

Which fraction is equivalent to the whole number 8?

Answers

Answer:

16/2, 32/4, 64/8 ...

Step-by-step explanation:

There are multiple fractions that equal 8

125^2x = 5^4x-4 solve for x

Answers

Nolur acil lütfen yalvarırım sana

Answer:

x=-2

Step-by-step explanation:

[tex]125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2[/tex]

The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value in d in the point (1, d). What does that point represent?

A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile

Answers

Answer:

A. d = 25; the unit rate is 25 miles per gallon

Step-by-step explanation:

The point (1, d) on the graph represents (x, y), where,

x = gasoline used = 1 gallon

y = distance = d = 25 miles

That is, (1, d) represents when x = 1, y = 25.

Thus, (1, 25) is the unit rate which is 25miles per gallon.

Find the length of the third side. If necessary, round to the nearest tenth.
24
14

Answers

Answer:

The answer is 19.49

Step-by-step explanation:

Hope this help you

Answer:

19.5

Step-by-step explanation:

19.49= 19.5

because of the nearest tenth

Are the triangles congruent

Answers

Answer:

Yes

Step-by-step explanation:

Rule AAA defines these two triangles as congruent.

Find the distance between (3,1) and (0,1).
A)
1 square 3
B)
1
C)
2
D)
3

Answers

Don’t want follow the link trust me

The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Given two points are (3,1) and (0,1)

What is the formula for distance when two points are given?

Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Here x2=1, x1=3, y2=1, y1=0

Distance=Root (1-3)^2+(1-1)^2

=sq.Root(4)

The root of 4 is 2

=2

Therefore distance between (3,1) and (0,1) is 2

To learn more about distance between two points click here: https://brainly.com/question/16319826

#SPJ2

Insert 4 geometric means between 6
and 92​

Answers

Answer:

6    23.2    40.4     57.6    74.8      92

Step-by-step explanation:

92-6 = 86

86/5 spaces = 17.2 each

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