PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

PLS HELP. Find The First Four Terms Of The Recursive Sequence Defined By The Following Formula:

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula [tex]a_{n}[/tex] = [tex]\frac{a_{n-1} }{4}[/tex] and

[tex]a_{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex], then

[tex]\frac{a_{3} }{4}[/tex] = [tex]\frac{9}{4}[/tex] ( multiply both sides by 4 )

a₃ = 4 × [tex]\frac{9}{4}[/tex] = 9

[tex]\frac{a_{2} }{4}[/tex] = 9 ( multiply both sides by 4 )

a₂ = 36

[tex]\frac{a_{1} }{4}[/tex] = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 [tex]\frac{1}{4}[/tex]

Answer 2

The first four terms of the recursive formula are 144, 36, 9, 9/4 .

What is a recursive sequence ?

A recursive sequence is an infinite sequence of numbers where each number in the sequence is equal to a fixed linear combination of one or more of its before or after number. In a recursive sequence, the series of the number present follows a particular sequence of logic.

How to solve the given recursive sequence ?

Given series is an = (an-1)/4 and also a4 = 9/4

Putting n = 4 in the given recursive sequence,

⇒ a3/4 = a4

∴  a3 = a4 * 4 = 9/4 * 4 = 9

Again putting n = 3 in the given recursive sequence,

⇒ a2 = 4*a3

∴  a2 = 4 * 9 = 36

Finally putting n = 2 in the recursive sequence,

⇒ a1 = 4 * a2

∴  a1 = 4 * 36 = 144

Therefore, the first four terms of the recursive formula are 144, 36, 9, 9/4 .

To learn more about recursive formula, refer -

https://brainly.com/question/1275192

#SPJ2


Related Questions

Find the value of c .
5/2 = c/22
c = ___.

Answers

Answer:

c = 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

I did this and it was correct please vote me as brainlies!

Hope this helped! :)

i am a number. my number squared is equal to 1/16. hat number am i

Answers

Answer: 1/4

Step-by-step explanation: 1/4 x 1/4= 1/16

HELPPPPPPPPPP Add & subtract matrices .....

PLZ GIVE THE ANSWER .. THANKSSSSS .

Answers

Answer:

[tex]\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Step-by-step explanation:

In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries

[tex]=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Write the expression using a single exponent 2^2•2^8
A.4^10
B.2^10
C.4^16
D.2^16
i think it’s B but i’m not for sure

Answers

I think it’s C. 4^16,

Find the zeros for (x+2)(x-4)

Answers

Answer:

x = -2 or x = 4

Step-by-step explanation:

The zeros:

(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0

x + 2 = 0          subtract 2 from both sides

x = -2

x - 4 = 0          add 4 to both sides

x = 4

solve using the elimination method -4x+2y=8 4x+4y=28​

Answers

Answer:

x = -1

y = 6

Step-by-step explanation:

Equation (1) : -4x + 2y = 8

Equation (2) : 4x + 4y = 28​

(1) + (2):

6y = 36

y = 6

Sub y = 6 into (1):

-4x + 2(6) = 8

-4x + 12 = 8

-4x = -4

x = -1

simplify by rationalizing the denominator: 4 over the square root of 10 minus square room of 6 ​

Answers

Answer:

[tex]\large\boxed{\dfrac{4}{\sqrt{10}-\sqrt6}=\sqrt{10}+\sqrt6}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{\sqrt{10}-\sqrt6}\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (\sqrt{a})^2=a\\\\=\dfrac{4}{\sqrt{10}-\sqrt6}\cdot\dfrac{\sqrt{10}+\sqrt6}{\sqrt{10}+\sqrt6}=\dfrac{4(\sqrt{10}+\sqrt6)}{(\sqrt{10})^2-(\sqrt6)^2}=\dfrac{4(\sqrt{10}+\sqrt6)}{10-6}\\\\=\dfrac{4(\sqrt{10}+\sqrt6)}{4}=\sqrt{10}+\sqrt6[/tex]

The rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

What is rationalization?

Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.

The rationalization of the given fraction will be :-

[tex]=\dfrac{4}{\sqrt{10}-\sqrt{6}}\times \dfrac{\sqrt{10}+\sqrt{6}}{\sqrt{10}+\sqrt{6}}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2}=\dfrac{4\sqrt{10}+\sqrt{6}}{10-6}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2} =\dfrac{4\sqrt{10}+\sqrt{6}}{4}=\sqrt{10}+\sqrt{6}[/tex]

Hence rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

To know more about rationalization follow

https://brainly.com/question/14261303

#SPJ2

Andrew wrote the number 186425,on the board in which number is the value of the digit 6 exactly 10 times of the value digit 6 in the number Andrew wrote?

A. 681,452
B. 462,017
C. 246,412
D. 125,655

Answers

Answer:

B

Step-by-step explanation:

The digit 6 in Andrew's number is worth 10 times less than the digit six in the other number. This means that the six will be shifted over one place to the left. The only number with a 6 in that position is B, 462,017.

It's B that's correct.

In 186425, the 6 is 6 thousands or 6000

Twice that amount has to be a digit in the ten thousands place.

When you check the choices, you'll see that the number 462, 017 is exactly 10 times of the value digit 6 of Andrew's number

2.
If a mouse eats grass seeds, the mouse is a _____.

producer

herbivore

decomposer

carnivore

Answers

Answer:

Herbivore

Step-by-step explanation:

The mouse isnt a producer because he cannot make his own food

The mouse isnt a carnivore because he isnt eating meat

The mouse isnt a decomposer because he isnt breaking down dead or decaying organisms

Herbivores are animals that eat vegetables or greens/plants but not meat.

Answer:

herbivore

Step-by-step explanation:

8n = 56 help me solve n ???

Answers

Hello There!

8n =56

Remember when a variable is next to a number that means multiply so we know that multiply 8 by some number is equal to 56.

Using our multiplication facts.

8*7=56

So that means N = 7

Answer:

7

Step-by-step explanation:

Divide each term by 8 and simplify

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3
5
6
cm. What is the volume of the prism?

Answers

Answer:

Height 356: 12816 cm3

Height 6: 216 cm3

Height 5: 180 cm3

Height 3: 108 cm3

Step-by-step explanation:

base * height = volume

PLEASE HELP!!
Find the exact circumference of the circle.

Answers

Answer:

B

Step-by-step explanation:

Select one of the factors of the quadratic expression.

x2 + 5x - 14

Answers

Answer:

(x + 7) or (x - 2)

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5, hence

x² + 5x - 14 = (x + 7)(x - 2)

What is the value of x, when 3x^2=18 3/4?

Multiple choice is up above. I promise to mark brainlest!!

Answers

Answer:

Option B is correct

Step-by-step explanation:

We need to solve the equation 3x^2 = 18 3/4 to find the value of x

3x^2 = 18 3/4

Converting mixed fraction into fraction form

3x^2 = 75/4

Dividing both sides by 3

3x^2/3 = 75/4*3

x^2 = 75/12 (dividing numerator and denominator by 3 which is common factor)

x^2 = 25/4

Taking square root on both sides to find value of x

√x^2 = √25/4

x = ± 5/2

x = ± 2 1/2

So, Option B is correct.

What is the value of b in this diagam?

Answers

Answer:

b = 8

Step-by-step explanation:

Given  : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].

[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].

[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.

Answer:

B=8

Step-by-step explanation:

It’s possible to build with side lengths 3,3,9

Answers

NO!

3+3 > 9

This does not form a triangle.

PLEASE HELP WITH THE QUESTION BELOW ASAP!! THANKS SO MUCH!

Answers

Answer:

y = 6x - 40

Step-by-step explanation:

please answer ASAP! will give brainlist.

If line S and line T are parallel lines cut by transversal line R, what is the value of X?

A. X = 12
B. X = 18
C. X cannot be determined from the information given.
D. X = 33

Answers

Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

4x-12=120

4x-12+12= 120+12

4x= 132

divide by 4 for 4x and 132

4x/4= 132/4

x= 33

check answer by using substitution method

4x-12=120

4(33)-12= 120

132-12= 120

120= 120

Answer is x= 33 (D.)

Slove -4(x+1)-3=(x-4)

Answers

Answer:

[tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]-4(x+1)-3=(x-4) \\ \\ -4x-4-3=x-4 \\ \\ -4x-7=x-4 \\ \\ -7=5x-4 \\ \\ 5x=-3 \\ \\ x=-\frac{3}{5}[/tex]

- 4 ( x + 1) - 3 = ( x - 4)

Distribute- 4x - 4 - 3 = (x - 4)

    2. Take away the parenthesis at the end

- 4x - 4 - 3 = x - 4

    3. Combine like terms

- 4x - 7 = x - 4

    4.  Add 4x to each side

-7 = -3x - 4

    5. Add 4 to each side

-3 = -3x

    6.  Divide

-3 / -3 = -3x / -3x = 1

The graph shows the total cost (y) of producing x motorbike engines.



Complete the following sentences based on the graph.

The equation of the line is y = .

The total cost of producing 50 engines is .
option 1
0.2x+2
0.25x+2
0.4x+2
1.2x+2

option 2
$12,250
$14,750
$14,500
$15,000

Answers

Answer:

1) Second option:  [tex]y=0.25x+2[/tex]

2) Third option: $14,500

Step-by-step explanation:

1) The equation of the line in Slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

You know the point (20,7) of the line and you can observe in the graph that the y-intercept is:

[tex]b=2[/tex]

Then, you can substitute these values into the equation  [tex]y=mx+b[/tex]

and solve for the slope "m":

[tex]7=m(20)+2\\\\7-2=20m\\\\m=\frac{5}{20}\\\\m=0.25[/tex]

Therefore, the equation of this line is:

[tex]y=0.25x+2[/tex]

2) To calculate the total cost of producing 50 engines, you need to substitute [tex]x=50[/tex] into the equation of the line  [tex]y=0.25x+2[/tex]. Then you get:

 [tex]y=0.25(50)+2[/tex]

 [tex]y=0.25x+2[/tex]

 [tex]y=14.5[/tex]

Since the y-axis represents the total cost "y" in thousands of dollar, then the total cost of producing 50 engines is:

$14,500

What is the input value for the following function if the output value is 5? y = x - 3

Answers

The input value is the x value, and the output value is the y value.

You know y = 5, so you can plug it into the function to find the input:

y = x - 3         Plug in 5 for y

5 = x - 3      Add 3 on both sides

5 + 3 = x - 3 + 3

8 = x

Answer:

8

Step-by-step explanation:

y= x -3

to get the Anwer I got i Subtracted

Because the output value is supposed to be five so?

5= x-3

Well  2 does get 5 if you add 2+ 3 together!

but if you subtract 3 -2 you get 1..

and 5 - 3 = 2 not 5

and adding 8 + 3 is 11 but subtracting it is 5!

which is

5= 8 - 3

Julien interviewed his classmates on which course they prefer and which animal they prefer. What percentage of cat lovers also prefer French?

Answers

Answer:

66.6%

Step-by-step explanation:

Select the expression that is equivalent to (x-3)^2

Answers

The answer is C. X^2-6x+9

Answer:

C. [tex]x^2-6x+9[/tex]

Step-by-step explanation:

We have the expression [tex](x-3)^2[/tex] we can rewrite it as:

[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

or

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]

The correct option is C. [tex]x^2-6x+9[/tex]

If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him. Why?

People are less likely to obey people that are just like themselves.
People are more likely to obey someone who represents authority.
People are less likely to obey others who are currently in school.
choices a and b

Answers

Answer:

I think the awnser should be a.

Step-by-step explanation:

This is because people usally find interests in things that percieve them. Since I am in freshmen I can tell how you feel. If you want to be a leader make choices that affect people personally, and don't make them feel bad.

Answer:

A is the answer.

Step-by-step explanation:

If a high school sophomore randomly declares himself a leader to his classmates, he will have difficulty finding people who will listen to him.

This is because - People are less likely to obey people that are just like themselves.

People are more likely to obey someone who represents authority. This cannot be the answer as the kid has not been declared authority by the school or he is not elected by the students. A random kid self electing himself will not be taken seriously by the kids.

So, option A can be the answer.

the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first number. Set these numbers​

Answers

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

1.
Identify the hypothesis and conclusion of this conditional statement:

If two lines intersect at right angles, then the two lines are perpendicular.

Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.

Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.

Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.

Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.

Answers

it is the second one

Answer: Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Step-by-step explanation:

A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.

For example : If a coin has two heads , then the coin is biased.

here , Hypothesis : a coin has two heads

Conclusion : coin is biased

Given conditional statement : If two lines intersect at right angles, then the two lines are perpendicular.

Here, Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Can someone help me please

Answers

Answer:

AD||BC

Step-by-step explanation:

Given:

m∠3=m∠B

And if a traversal cuts two lines such that the corresponding angles are equal then the lines are parallel

Hence the lines AD and BC are parallel

AD||BC !

find the area of the figure

50cm^2
127cm^2
144.5cm^2
172cm^2

Answers

Answer:

this gives you 144.5cm^2 and that is your answer

I hope my answer has come to your helpanswerStep-by-step explanation:

The area of the given figure is Option(C) 144.5 square centimeter.

What is the area of the given figure in the diagram ?

In the diagram given aside, two shapes are mentioned one is a rectangle and other is a right-angled triangle.

The area of the rectangle is given by -  length*breadth

The area of the right-angled triangle is given by -  1/2*base*height

In the given figure, length = 13cm , breadth = 9cm , base = 11cm and height = 5cm

⇒ Total area = length*breadth + 1/2*base*height

⇒ Total area = 13*9 + 1/2*11*5 square centimeter

⇒ Total area = 117 + 27.5 square centimeter

∴  Total area = 144.5 square centimeter

Therefore, the area of the given figure is Option(C) 144.5 square centimeter.

To learn more about area of figure, refer -

https://brainly.com/question/1090412

#SPJ2

what does one centimeter equal

Answers

[tex]1\text{cm}=1\cdot10^{-2}\text{m}=10^{-2}\text{m}[/tex]

Answer:

Step-by-step explanation:

1 cm = 10 mm = 0.01 m = 0.00001 km

Different groups of 50 graduates engineering were ask the starting annual salary of their first entering job after graduation, and the sampling variability was low. If the average salary of one of the groups was $53,000, which Of these is least likely to be the average salary of another of the groups? A- $54,000 B- $53,000 C- $55,000 D- $41,000

Answers

Answer:$41,000

Step-by-step explanation:

Answer:

least likely option comes out to be option D.

Step-by-step explanation:

correct answer is option D.

As in the question it is given that the average salary of one group is  $53,000.

and,

it is also stated that the  sampling variability is very low which means the deviation from the mean will be very low .

when look at the options all the option A , B , C  are very much closer to $53,000 and the only option left is $41,000 which is very much deviated

hence,the least likely option comes out to be option D.

Other Questions
The manager of a hair salon is analyzing the number of customers who visit the salon each day. If she wants one number to summarize all the values of the data set, what type of measure should she use? A. a measure of center, such as the median B. a measure of variation, such as the mean absolute deviation C. a measure of variation, such as the mode D. a measure of center, such as the interquartile range Need answer fast please What was the rhetorical context of Stalin's speech?A. Japan had unexpectedly bombed the United States.B. Hitler had recently invaded the USSR.C. Stalin had faced an uprising against his political party,D. Italy had defied a peace treaty with the USSR. Please help! Im super confused because I got a negative number and I think Im wrong? Who designed the first periodic table?A.John DaltonB.Louis PasteurC.Gregor MendelD.Dmitri Mendeleev White light shines on a piece of paper whose atoms are capable of absorbing orange, indigo, violet, yellow, red, and blue light. What color is the paper? 1)black2)white3)green4)whatever color is created by the mixture of orange, indigo, violet, yellow, red, and blue light Solve for x. A. 6 B. 7 C. 4 D. 5 a rocket is fired vertically from the ground.it moves upwards with a constant acceleration 10m/s square for 30 seconds after which the fuel is finished.after what time from the instant of the firing of the rockets will attain maximum height?,find the maximum height it rraches above the ground and total time the rockrt will stay above the ground. The figure below is rotated 270 clockwise about the origin .List the coordinates of the image.A ( , )B( , )C( , )D( , ) The vertices of a triangle are A(6, 3), B(0, 3), and C(6, 0). Draw its image after a dilation with respect to the origin using a scale factor of 1/3. All I need to know is the points of the new triangle.Thanks! Which choice is equivalent to the quotient below shown here when x>0? What cultural practice is the Mississippian civilization best known for? A. sailing across the Atlantic Ocean B. building large mounds on the earth C. creating artwork in religious temples D. starting a democratic government I was thinking an enzyme and protein, any ideas? PLS HELP ASAP!which two data sets show the most overlap? What role did women play in the war effort during world war i? In order to insert a human gene into a plasmid, both must ____ !PLEASE HELP! WILL GIVE BRAINLIEST!!A projectile launched straight up into the air with an initial velocity of 20 meters per second from a height of 10 meters. How long will it take for the projectile to hit the ground? please solve and show your work!! What would be labors first step in solving labor problems and effecting change? The north star has very little apparent rotation in the night sky because X^2-15x+56=(x-7)(x-____)Fill in the blank please help me When apartheid ended, there was a danger of a backlash by blacks against whites who supported apartheid. how does mandela's speech respond to that danger?