Write a recursive formula for An, the nth term of the sequence 80, -20,5, ....

Answers

Answer 1

Answer:

  a[1] = 80; a[n] = -a[n-1]/4

Step-by-step explanation:

The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...

  [tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]


Related Questions

The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answers

Answer:

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Step-by-step explanation:

PLS DO THE MATH INT HE PICTURE

Answers

Answer:

Area = 100cm²

Perimeter = 48cm

Square the binomial (2x-4)^2

Answers

Answer:

4x^2 - 8x +16

Step-by-step explanation:

(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled

4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.

Thus it is 4x^2 - 8x + 16.

is the function linear or not

Answers

☆Answer :

Linear.

[tex] \rm {6x}^{2} = 12[/tex]

[tex] \rm {x}^{2} = 12 \div 6[/tex]

[tex] \rm {x}^{2} = 2[/tex]

[tex] \rm x = \sqrt{2} [/tex]

A man walks 50km a day he gets R1 for every 1000 steps. How much money will he have at the end of his 50km walk if 1,6Km is = to 2000 steps.​

Answers

we have 1,6Km is = to 2000 steps => 1 km = 1250 steps

=>  50km = 1250 x 50 = 62500 steps

so he'll have: 62500/1000 = 62,5 R1

ok done. Thank to me :>

A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound

Answers

Maybe it is 10x6=60 sorry if incorrect

Please help I need this done ASAP

Answers

Answer: No solution

The two lines don’t meet at any point(s). So, there are no solutions.

:)

Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution





-2(x + 4) + 9x = 4 - 7x

Answers

The answer is x=6/7.

El primer término de una progresión geométrica es 3 y el séptimo 12 288. Hallar la suma de los siete términos.

Answers

Answer:

16383

Step-by-step explanation:

El primer término de la progresión geométrica es 3 y lo llamaremos [tex]a[/tex].

Se tiene que una progresión geométrica es de la forma:

[tex]a, ar, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]

Donde [tex]r \neq 0[/tex] y es la proporción es común. Por lo tanto si el séptimo número de la sucesión es 12.288 este se puede re-escribir como:

[tex]ar^6 = 12.288[/tex]

Si se resuelve la ecuación para hallar [tex]r[/tex] se tiene

[tex]r = \sqrt[6]{\frac{12.288}{a} } = \sqrt[6]{\frac{12.288}{3} } = \sqrt[6]{ 4096} = 4[/tex]

Ahora se halla cada número de la progresión geométrica entre 1 y 7 para finalmente sumarlos

[tex]ar^0+ar^1+ar^2+ar^3+ar^4+ar^5+ar^6[/tex]

[tex]3+12+48+192+768+3072+12288[/tex] = 16383

Por lo tanto la sumatoria de los primeros [tex]7[/tex] términos de la sucesión son 16383

7 inches 6 inches and 6 inches make a triangle?

Answers

Answer:

^

Step-by-step explanation:

The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.

3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value? ​

Answers

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

I just need the properties in order help plz

Answers

[tex] \: \: \: \: [/tex]

[tex]6x - 30 - 3x = - 12[/tex]

move the variable to the left hand side and change its sign, move the constant to the right hand side and change its sign

[tex]6x - 30 = - 12[/tex]

collect like terms and calculate the sum

[tex] 3x = - 18[/tex]

divide both sides of the equation by 3

[tex]x = 3[/tex]

hope it helps

[tex] \: \: \: \: \: [/tex]

[tex]\sf \longmapsto6(x−5)=3x−12[/tex]

Simplify both sides

[tex]\sf \longmapsto(6)(x)+(6)(−5)=3x+−12[/tex]

[tex]\sf \longmapsto6x+−30=3x+−12[/tex]

[tex]\sf \longmapsto \: 6x - 30 = 3x - 12[/tex]

Subtract 3x from both sides

[tex]\sf \longmapsto \: 6x−30−3x=3x−12−3x[/tex]

[tex]\sf \longmapsto3x−30=−12[/tex]

Add 30 to both sides

[tex]\sf \longmapsto3x−30+30=−12+30[/tex]

[tex]\sf \longmapsto3x=18[/tex]

Divide both sides by 3

[tex]\sf \longmapsto \: \dfrac{3x}{3} = \dfrac{18}{3} [/tex]

[tex]\sf \longmapsto \: x = 6[/tex]

[tex] \boxed{\sf \: x = 6 }[/tex]

Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles

Answers

Answer:  35 miles, but this is not an answer option.

Step-by-step explanation:

A   X   B       C

AC = 41 miles

BC = 2AB + 2  

AX = 6

AX + XC = 41        [This is the key equation.  We want XC and AX is given as 6]

6 + XC = 41          

XC = 35 miles

None of the answer options show this value.

I don't know why, since:

a.  "the distance from A to C is 41 miles." means AC = 41, and

b.  "Town X is between A and B, 6 miles from A" means AX = 6

If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35

I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.

Jorge wants to find the height of the house, help him find it.

Answers

I think we need more explanation

Answer soon please 10 points Easy math

Answers

Answer:

1 and -7

your first choice in the list

Step-by-step explanation:

yeah, this one was fun.

i need help friends on my math problem

Answers

Answer:

the answer is a

increase 2.75 by 1/4

Answers

Answer:

1/4 in decimal form is 0.25. You can convert any fraction into a decimal by just diving the numerator by the denominator.

Every time you see a fraction sign basically “—“ it jsut means divide by.

Now you can just divide. 1/4= 0.25

now we Increase which just means add

2.75+0.25 =3

An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
13,200
26,400
39,600
79,200
158,400

Answers

Answer:

B) 26,400

An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?

13,200

26,400

39,600

79,200

158,400

26400 yards of cable is used.

the answer is B) 26,400

What is unit conversion?

Unit conversion is the process of changing a physical quantity from one unit of measurement to another. For example, converting kilometers to miles, Celsius to Fahrenheit, or liters to gallons. The process involves multiplying or dividing the original measurement by a conversion factor, which is a ratio of equivalent units

To convert miles to yards, we need to multiply by the conversion factor of 1 mile = 1760 yards.

15 miles * 1760 yards/mile = 26,400 yards

So, the electrician will use 26,400 yards of cable.

Hence, 26400 yards of cable is used.

the answer is B) 26,400

To learn more about the unit conversion, visit:

https://brainly.com/question/97386

#SPJ1

Which of the following could be a helpful first step in solving this equation for q?

p2q+2q=11
Question 5 options:

Combine p2q+2q

Divide the whole equation by 11.


Divide the first term by p2

Factor a q out of p2q+2q

Answers

Answer:

D: Factor a q out of p^2 q+ 2q

Step-by-step explanation:

I took the test. Hope it was helpful! :)

The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation is,

p²q+2q=11

Take q common from the L.H.S as

q(p²+2)=11

The value of q is obtained by rearranging the equation as,

q=11/(p²+2)

The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).

Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Consider the following equation.

x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Answers

X= -20

Substitute the value of y, which is 12, into the equation and solve for x.

X+2y=4
X+2(12)=4
X+24=4
-24 -24
——————
X=-20

4(2x - 1) + 3(2x + 5)​

Answers

Answer:

14 x + 11

Step-by-step explanation:

4*(2x - 1) + 3*(2x + 5)​ =

8x - 4 + 6x + 15 =

14 x + 11

4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year

Answers

Answer

B

Explanation

Mark Brainliest please

On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB. How
many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.?

Answers

Answer:

1.24 times as intense

Step-by-step explanation:

The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

What is the average rate of change?

Let the function y = f(x).

Then the average rate of change will be

Average rate of change = (y₂ - y₁) / (x₂ - x₁)

On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.

Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be

⇒ (100 – 124) / 100

⇒ -0.24

Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

More about the average rate of change link is given below.

https://brainly.com/question/23715190

#SPJ2

you will receive a golden cookie and 30 points if you help me

Answers

Answer:

A: -5/4 ; B: -0.5 ; C: 2

Step-by-step explanation:

Its the number line which shows.

Answer:

B = -0.5

A= -5/4

C= 2

Brainlest

Step-by-step explanation:

In △ABC, m∠A = 75° and m∠C = 20°, What is m⁢∠⁡⁣B?

Answers

Answer:

30 degree ok please make me brainliest

Answer:

∠ B = 85°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ A + ∠ B + ∠ C = 180° , substitute values

75° + ∠ B + 20° = 180°

∠ B + 95° = 180° ( subtract 95° from both sides )

∠ B = 85°

please work QUICK its a test​

Answers

If you’re solving for d, it would be d = 10-3i

60 children went to the beach.. 4/5 of them could swim. How many 60 children went to the beach. children could not swim?​

Answers

Answer:

75

Step-by-step explanation:

60 divided by 4/5 is 75

If 4/5 can swim, then 1/5 cant

1/5 of 60 is basically 60/5 which is 12

12 children can’t swim

If you get this right i'll give u 40 :)

Answers

Answer:

1.NO  2. Yes

Step-by-step explanation:

Answer:

The first and second one is no

Step-by-step explanation:

(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25

1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26

Samantha is training to be a paramedic.
She works in the emergency room
of a hospital as part of the training
requirements. So far, she has completed
619 hours. If Samantha worked a total of
58 days so far, about how many hours
did she work each day?

Answers

About 10hours a day is the answer
10 hours per day , did you need to show any work or just an answer?

Using the information about Carrie's business model, drag each attribute of Carrie's business to its
description
Tiles
type of industry
purpose of the business
target customers
how the business can
Increase profits
Pairs
sell beautiful, low-priced furniture
lower operational costs
retail

Answers

Answer:

sell beautiful, low-priced furniture -> Purpose of bussiness

retail -> type of industry

lower operational costs -> higher profits

target customers -> again profits? can't see the final answer on the picture

Step-by-step explanation:

Hope this helps!

The tile "type of industry" matches with "retail", "purpose of the business" matches with" sell beautiful, low priced furniture", "how the business can increase profits" matches with "lower operational costs".

What is operational cost?

Operational cost is the amount of expenditure done by the company or a firm on its day to day operations or in its manufacturing related activities.

How to identify statements?

First tile says "type of industry". In the options there are two options with which it can match one is "retail" and other one is "sell beautiful,low priced furniture".But the second one is related to cheap pricing which may may be just a segment in an industry, that's why the most important option which matches with it is "retail". Second tile matches with "sell beautiful , low priced furniture" because there is a possibility that the business wants to just working for poor or middle class people. For third tile there is not any option present. Fourth tile matches with "lower operatonal costs" because when the cost of the company reduces it automatically increases the profits of the company.

Learn more about operational costs at https://brainly.com/question/14697297

#SPJ2

Other Questions
show that 20 = 25 Do you think cities and states should do more to prepare for earthquakes, why or why not? the american civil war has been equated with the nation building that went on in germany and italy, with lincoln playing the role of otto von bismarck. watch the author video below. afterward, identify the statements that point to the differences between the european and american experience of nation building in the nineteenth century. sir? sir? are u there? help me -_- how does a cell get energy from an atp molecule What would be the atomic number of this atom? Cross-cultural and ethnographic studies- though related- are not the same thing. Each has their own distinct advantages and disadvantages. Identify a primary disadvantage of cross-cultural studies. Technician A says stepped resistors are made from one or more wire-wound resistors.Technician B says a common application for this type of resistor is in a blower motor speedcontrol circuit. Who is correct?Select one:O a. Technician AO b. Technician BO C. Both Technician A and Technician BO d. Neither Technician A nor Technician B The Dublin-based band U2 emerged as a symbol of optimism and peace for the eighties, and like the band R.E.M., they _____. visitors who kiss irelands blarney stone are said to be gifted with what? A car goes from 60 m/s to 75 m/s in 10 seconds.calculate the cars acceleration? what is the value of |-3.25| and what is the value of |4.25| Explain how the Halloween holiday is related to economics. Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?[1 ft = 0.305m] $9.20 $2.12 $2.81 $30.16 The following information relates to the acquisition of the assets of Quine Corporation by Armstrong Inc. for Year 5. Fair value of Quine GW, January 1, Year 5 60,000 Fair value of Quine GW, December 31, Year 5 55,000 When the assets were originally purchased by Armstrong on January 1, Year 1, the goodwill of the Quine business was determined to be $100,000 and would last 10 years. During Year 5, Armstrong also spent $36,000 to enhance the brand image of Quine's products and it is expected that the enhancement will have to be done again in four years. What is the amount of expense to be shown on the income statement of Armstrong Inc. What were the incentives and risks for being a blockade runner during the Civil War? in the 1950s, societys view of the role of women at work and at home became increasingly narrow. which of the following statements are evidence of this common view of women as suburban homemakers? if 20 boys can sweep the school compound in 8 minutes, how many boys can sweep it in 10minutes Match the expression to its simplified form bedmasss pls help) 8.8 - 2.2 x 4 + (5.4 4.2)