Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .

Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .

Answers

Answer 1

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]

Answer 2

Option A is correct -

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

What is the formula to find the recursive of a Geometric sequence?

The formula to find the recursive of geometric sequence is -

[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

[tex]a_{n} = -3a_{n-1}[/tex]    and      [tex]a(1)=-3[/tex]

Hence, Option A is correct.

To solve more questions on finding the recursive of a sequence, visit the link below -

brainly.com/question/24506976

#SPJ2


Related Questions

− 96 ÷ −6 ÷ 8 =
a) 2 b) -2

Answers

the answer is 2………………

Answer:

answer is 2

Step-by-step explanation:

answer is 2…………………………………

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Someone please help me out!!!! Its a picture marking brainliest

Answers

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

(SAT Prep) Find the value of x

Answers

25°+x=45°+15°25°+x=60°x=60°-25°x=35°

I hope it will be helpful andplease mark this answer as brainlist

Answer:

55°

Step-by-step explanation:

It should be:

x - 25 = 45 - 15x = 30 + 25x = 55

Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in

Answers

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

Find the perimeter and area , Please help me on this will give brainlist

Answers

Answer:

Area: x^2+x-6

Perimeter: 4x+2

Step-by-step explanation:

Area: multiply x+3 and x-2 and combine the like terms

Perimeter: multiply the length and width by two, then combine the like terms.

Pls help me with this question ASAP

Answers

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

Answer: 8

Step-by-step explanation:

(3+5)^2/8=

(8)^2/8=

64/8=

8

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

If every 1,000 views is 2 cents how much would I have if it was 100,000 views

Answers

Answer:

It's answer is 200 cents bun not sure

999999999999999*22222222222222

Answers

Answer:

22222222222221977777777777778

Step-by-step explanation:

I hope it is clear for you. please rate brainliest

Answer: 2.22222222E+28

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?

Answers

Answer:

6 choose 3 = 20

Step-by-step explanation:

[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]

6 choose 3 = 20

The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school

Total number of fruits = 1+1+1+1+1+1

Total number of fruits = 6

n = 6

He wants to bring three pieces of fruit to school,

r = 3

Total combination:

= C(6, 3)

= 6!/(6-3)!3!

= 720/(6)(6)

= 720/36

= 20 combination

Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

10.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.

Answers

Answer:

120

Step-by-step explanation:

white : blue : green

5        :4          :1

48 are blue

48/4 = 12

Multiply each by 12

white : blue : green

5*12   4*12     1*12

60        48        12

Add the numbers together to get the total

60+48+12

120

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.

Please help! Was due yesterday!

Answers

Answer:

1. Line segment 2. Point 3. Line 4. Line Segment

How do you find the diameter of a quarter circle?

Answers

Answer:

um 1/4

Step-by-step explanation:

This...ik what mean is I'm just trying to find what the original numbers would be? ​

Answers

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5

Answer
17.5


Explanation 17×5 is five but 2×5 is seven so 7×10 is 10

Calculate the value of x for the following equations. Show your working.​

Answers

Answer:

0.86603 is the answer of the question

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Given

64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )

64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27

64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27

64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27

64 x³ = 27 ( divide both sides by 64 )

x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )

x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]

Find the value of the constant m √150 - √12m + √54 = 0​

Answers

Answer:

m is 2

Step-by-step explanation:

[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]

A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?

Answers

I can use the equation .28(m) to solve this problem. If we plug in our numbers, we will get .28(315). This will give us 88.2. 88.2 is $88.2 dollars. Therefore, it costs him $88.2 dollars a week.

Find tan a Picture included

Answers

Answer:

5/12

Step-by-step explanation:

We know its a right angled triangle because of phythogorean theorem,

h^2=p^2+b^2

Take angle A as reference,

13^2=12^2+5^2

or,169=144+25

169=169

Now,

We know,

Tanx=p/b

As we took angle A as reference,

p=5

b=12

h=13

Put that in tanx=p/b

We get,

tanx=p/b=5/12

Answer:

Step-by-step explanation:

[tex]tan \ A = \frac{opposite \ side}{adjacent \ side}\\\\tan \ A = \frac{5}{12}[/tex]

42°
Х

please help with this

Answers

Answer:

X=48degrees.

Step-by-step explanation:

Sum of all angle of traingle=180degrees.

So, 90+42+X=180

132+X=180

X=180-132=48degrees

someone please help!!

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

if a = 4 - √15, find a^4 +1\a^4

Hey! Please answer this question with steps. I will mark you brainliest.

Random answers like 'sdfgh' or wrong answers will be reported

Answers

Answer:

[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Step-by-step explanation:

[tex]a=4-\sqrt{15}[/tex]

[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]

Helpppppp pleaseeee anyoneeeee!!!!!

Answers

Answer:

Create a function representing number of published articles per month:

[tex]a=12m+60[/tex]

Where:

a = total number of articles publishedm = number of months12 = slope = number of articles published per month60 = y-intercept = number of published articles at the start (month 0)

Now substitute in the values of m to get the a-value:

m = 1 → a = 12(1) + 60 = 72m = 3 → a = 12(3) + 60 = 36 + 60 = 96m = 4 → a = 12(4) + 60 = 48 + 60 = 108m = 9 → a = 12(9) + 60 = 108 + 60 = 168

10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question​

Answers

Answer:

Hello,

Step-by-step explanation:

The volume of the tank is V, p is number of pipes, t the time, k as constant.

V=k*p*t

V=k*10*16 ==> k=V/160

V=k*8*t

V=V/160*8*t ==>1=8/160*t ==> t=160/8=20

Time to use: 20 min.

please show work it’s for calc

Answers

Answer:

-93

Step-by-step explanation:

This is just.a matter of using a couple of integration rules and plugging in then using order of operations.

Difference rule and constant multiple rule will be used here.

3(-17)-7(6)

-51-42

-93

Answer:

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]

[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:              [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute:                                                                                    [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

find the surface area of the cylinder and round to the nearest tenth​

Answers

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?

Answers

Answer:

linear. Each week adds another 10 dollars.

Step-by-step explanation:

Total = 340 +  10*w

w is the weekly amount

Suppose 5 weeks pass

Then the total amount in her bank account is

Total = 340 + 10*5

Total = 340 + 50

Total = 390

The equation is Linear.


During one week, David worked 16 hours at his normal hourly rate and
7 hours at his time and a half rate. His total pay for the week was
$848.
What is David’s normal hourly rate?

Answers

Answer:

43.49

Step-by-step explanation:

let his normal hourly rate be x

16x+7x/2=848

39x/2=848

x=848 ÷ 39/2

=43.48717

David’s hourly rate is 106 dollars an hour
Other Questions
8. Share 5 sweets between 2 friends.8 1 How many sweets did each one get?8.2 Were there any sweets left over? 12. Within the story, the author alludes to King Solomon and the Queen of Sheba. TheQueen of Sheba was known to be beautiful, intelligent, and very rich. King Solomonwas said to exceed all kings in riches and in wisdom. At one point the Queen ofSheba tested King Solomon's wisdom and, when he succeeded, she showered him ingifts. How do these allusions add to the development of the story? Use specificevidence from the text to support your answer. Clois what is the weight of a body in the earth, if its weig is 5Nin moon? When a bomb is suspected of being planted in a room, how is a search for the bomb generally conducted?by starting at one end of the room, fanning out, and then proceeding until reaching the other endby type of material: metal objects are inspected first, then plastic, then all othersby height, starting below hip level then working upward, sweeping around the room at each levelby dividing the room into quadrants, then sweeping one quadrant at a time this is just the second out of 25 questions. Get ready cuz my brain hurts Too little sleep is a risk factor for poor health, reduces a person's resistance to disease, andimpairs motor skills,TrueFalse No matter how long it may take us to overcome this premeditated invasion, the American people in their righteous might will win through to absolute victory. I believe that I interpret the will of the Congress and of the people when I assert that we will not only defend ourselves to the uttermost but will make it very certain that this form of treachery shall never again endanger us. Hostilities exist. There is no blinking at the fact that our people, our territory, and our interests are in grave danger. Which phrases from the excerpt include loaded words intended to evoke a sense of fear? Selecttwo Can someone help me with this please find the area of this rectangle f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last? A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2minutes? Do not round your answers. convert 14.72 kg to ____ mg Assertion (A): An orbital cannot have more than two electrons, moreover, if an orbital has two electrons they must have opposite spins.Reason (R): No two electrons in an atom can have the same set of all the four quantumnumbers.a) Both A and R are true and R is the correct explanation of A.b) Both A and R are true but R is not the correct explanation of A.c) A is true but R is false.d) Both A and R are false.pls answer . Write an essay on the topic Importance of Education in our life Suppose we can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. We can redeem six coupons for one chocolate bar from the machine. This means that once you have started buying chocolate bars from the machine, you always have some coupons. We would like to know how many chocolate bars can be eaten if we start with N dollars and always redeem coupons if we have enough for an additional chocolate bar.For example, with 6 dollars we could consume 7 chocolate bars after purchasing 6 bars giving us 6 coupons and then redeeming the 6 coupons for one bar. This would leave us with one extra coupon. For 11 dollars, we could consume 13 chocolate bars and still have one coupon left. For 2 dollars, we could have consumed 14 chocolate bars and have two coupons left.Write a program that inputs a value for N and outputs how many chocolate bars we can eat and how many coupons we would have left over. Use a loop that continues to redeem coupons as long as there are enough to get at least one chocolate bar. which sentence is incomplete?---------------------------------------------A. Gas prices go up.B. most stores carry these types. C. buying a bike.D. take time with your choice. Brownley Company has one service department and two operating (production) departments. Payroll Department costs are allocated to the two operating departments in proportion to the number of employees in each. Listed below are the operating data for the current period: Department Direct Expenses No.of Employees Payroll $ 26,000 Milling 80,000 52 Assembly 109,600 78 The total cost of operating the Milling Department for the current period is: rev: 12_17_2020_QC_CS-243789 Multiple Choice $90,400. $95,600. $10,400. $15,600. $80,000. "Laura froze when the power went out in the cabin. The moon was not out this night, so there wasnot a speck of light With the hum of the generator gone, it was deathly silent. With no sight and nosound the cabin was nothing more than a dark void of nothingness. The only thing worse than thesilence was hearing the sudden creaking of the cabin floorboards. Someone was inside." What kindof atmosphere does this setting create?A. CalmB. NaturalC. ScaryD. None of these What is the remainder for the synthetic division problem below?2/ 3 1 2 -7A. 25B. 17C. -29 D. -39 Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture