A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125

Answers

Answer 1

Answer:

B.9, 4, −1, −6

Step-by-step explanation:

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?

A.−5, 4, 13, 22

B.9, 4, −1, −6

C.−5, −45, −405, −3645

D. 9, −45, 225, −1125

From the above question,

A sequence can be generated by using an=a(n−1)+9, where a1=−5

The formula = an = a1 + (n - 1)d

a1 = First term

d = common difference = 9

We are to find the first 5 terms

First term = a1 =

an=an−1+9, where a1=−5

The formula =

a1 = -5 (1 - 1) + 9

= -5(0) 9

= -9

Second term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1 (n - 1) + d

a2 = -5(2 - 1) + 9

= -5(1)+ 9

= -5 + 9

= 4

Third term = a3 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a3 = -5(3 - 1)9

= -5(2) + 9

= -10+ 9

= -1

Fourth term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a4 = -5(4 - 1)9

= -5(3) +9

= -15 +9

= -6


Related Questions

What is -11 x -8?


I suck at math :(

Answers

i didnt see the - on the 11 and 8 my bad :(

Answer:

88?

Step-by-step explanation:

Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form

Answers

Answer:

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Step-by-step explanation:

The balance Amy has in her lunch account is a function of the number of lunches she has consumed.

The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:

[tex]B(x)=50-3x[/tex]

Where x is the number of lunches.

Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:

[tex]B(x) \le 5[/tex]

Or, equivalently:

[tex]50-3x\le 5[/tex]

Subtracting 50:

[tex]-3x\le 5-50[/tex]

[tex]-3x\le -45[/tex]

Multiplying by -1 (and flipping the sign):

[tex]3x\ge 45[/tex]

Solving:

[tex]x\ge45/3[/tex]

[tex]x\ge 15[/tex]

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

For the given functions f and g, complete parts (a)-(h). F
f(x) = 5x + 8; g(x) = 7x-2

Answers

Answer:

9

Step-by-step explanation:

use math and add way after it

u welcome does work for u

I need help with something maybe if I can send a picture of it it will be easier​

Answers

Answer:

sure send it and I will do my best to help you..

6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?

Answers

Answer:

5 dvds

Step-by-step explanation:

15 per dvd

15x+10 and then it has to be less then 100

I think the answer would be 5:)

dont be shy answer my math equation.

Where would you locate √6 on a number line?

between 2.0 and 2.25
between 2.25 and 2.5
between 2.5 and 2.75
between 2.75 and 3.0

Answers

Answer:

i wanna say 2.25 and 2.5 but I'm not entirely sure

this month, Carla caught the following fish in lake George: 24 trout, 41 sunfish, 12 perch, and 23 bluegills. If Carla catches another fish this month , what's the probability of her catching a trout

Answers

Answer:

I believe the answer is about 1/2!

Step-by-step explanation:

I don't have a step-by-step but when I took a test this question was on it and I got the question right by putting about 1/2!

The probability of her catching a trout is 6/25

What is probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the question

based on given condition , formulate

24 ÷ (23 + 12 + 24 + 41)

Calculate sum or difference = 24/23 + 12 + 24 + 41

Calculate sum or difference = 24/59 + 41

Calculate sum or difference = 24/100

Reduce the fraction = 6/25

Hence, the probability of her catching a trout is 6/25

To learn more about probability from here

https://brainly.com/question/11234923

#SPJ2

A DVD normally costs $20. The price changes to $9.50 when it goes on sale. How much is the percent of change on the DVD

Answers

Tbh it might be 55 percent

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

solve -3/8y=-24 urgent it’s a timed test!

Answers

Answer:

y = 64

Step-by-step explanation:

-3/8y = -24

-3y = -24 (8)

y = -192 / -3

y = 64

Debbie can type 17 words in 20 seconds. What is her rate in words per minute?

Answers

34 words per minute

Which is the first step in solving
X-2 = 2?

Answers

Answer:

The first step is to find a number that when subtracted from 2 gives you 2.

Step-by-step explanation:

The algebraic part of this problem would be to add the -2 (adding 2 to both sides) to both sides, so

first x-2=2, then x-2(+2)=2(+2)  which would give us,

x=4

*note: the parenthesis are just to show that we are adding the 2, to make it more understandable.

Andy drove 840 miles in 12 hours. How far could he drive in 1 hour?

Answers

Answer:

70

Step-by-step explanation:

Divide 840 by 12 and you get 70 miles.

Hey, he's speeding! I should give him a ticket.

Can I have brainlliest?

Hope it helped.

You start at (4, 4). You move right 1 unit and down 4 units. Where do you end?

Answers

Answer: (5,0)

Step-by-step explanation:

Answer:

You would end at (5,5)

On the the grid or your platform I believe

HALP PLZZZZZZZZZZZZZZZZZZZ

Answers

3 7/10 is less than 3 4/5

turn the mixed numbers into improper fractions and you get 37/10 and 19/5 yoy make the 19/5s denominator 10 and you get 38/10

38/10 is greater than 37/10

less than symbol, because the one on the right is greater because it equals 3 and 8/10

What is 0.23 divided by 0.7?

Answers

0.328571428571

ly guys <3

easyyy, put it into a calculator and u get 0.32857

please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31

17 = 3x - 10

2x + 6 = 4x - 8

17x - 5(3x - 11) = 41

5x - (3x - 6) = 18

6x - 3(4 - 5x) = 30

x - (-5) = 7

Answers

This is a lot of questions-

I did them all on a calculator.

1.)

3x - 4 + 6x = -31

3x + 6x - 4 = -31

9x - 4 = -31

9x = -27

Answer: x= -3

2.)

17 = 3x - 10

3x -10 = 17

-10 = -10

3x = 27

divide both sides by 3

Answer: x= 9

3.)

2x + 6 = 4x - 8

-6 = -6

2x = 4x -14

-4x (both sides)

-2x = -14

divide both sides by -2

Answer: x = 7

4.)

17x - 5(3x - 11) = 41

2x +55 = 41

-55 (both sides)

2x = -14

divide 2 both sides

Answer: x = -7

5.)

5x - (3x - 6) = 18

2x + 6 = 18

-6 both sides

2x = 12

divide both sides by 2

Answer: x = 6

6.)

6x - 3(4 - 5x) = 30

21 - 12 = 30

+12 boh sides

21x = 42

divide both sides by 21

Answer: x = 2

7.)

x - (-5) = 7

x + 5 = 7

-5 both sides

Answer: x = 2

round 4.30132 to the nearest thousandth

Answers

The answer would be 4.301

Answer:

4.301

Step-by-step explanation:

Will give brainliest, like, comment, and 5 points the the best answer
The answers you can choose from are proportional or non-proportional.
Could you please answer this:

Answers

Answer:  

Fractions with variablies are proportional anyway, and any number is proportional as long as it has the same ratio.  

 

Step-by-step explanation:

LOOK AT THE IMAGE ABOVE & SOLVE IT BY SHOWING FULL STEPS! I will mark you brainlist if you show full steps

Answers

Answer:

Area of original shape: x1

Area of zoomed shaped: x4

Perimeter of original shape: x1

Perimeter of zoomed shaped: x2

Step-by-step explanation:

Since the image is zoomed in by 2, it means that all measurements are doubled. When calculating the area, the zoomed shape had an area 4 times greater than the original shape! With perimeter, instead of the same multiplier, the perimeter of the zoomed shape was only doubled of the original shape.

V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh

Answers

Answer:

the like terms were not grouped together.

3/4(x+8) > 1/2(2x+10)

Answers

3x/4+6 and x+5
Pls mark brainliest

How Do I do this word problem

Answers

Answer:

just do what it says

Step-by-step explanation:

There were 3 boys for every 4 girls how many student i all went the trip

Answers

Answer:

7

Step-by-step explanation:

Answer:

it depend on how many students there were in total so you can know how many boys and girls

Step-by-step explanation:

I received $385 back from the government, which represented the 17.5% purchase tax on a piece of equipment. How much did I pay for this equipment in the first place?

Answers

Answer:

[tex]the \: equipment \: price \: is : 2,200.[/tex]

Step-by-step explanation:

[tex]let \: the \: original \: price \: be \: x \\ then \: 17.5\% \: of \: x = 385 \\ \frac{17.5}{100} \times x = 385 \\ 17.5x = 100 \times 385 \\ x = \frac{38500}{17.5} \\ x = 2,200.[/tex]

Given h(x) = -4x – 5, solve for x when h(x) = 7.

Answers

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

Ruth buys 2 postcards during each day of vacation. After 8 days of vacation, how many total postcards will Ruth have bought?

Answers

My dog was talking to me see animals can talk and yes me and my dawg went to the moon together and yes

Answer:

Ruth will have bought 16 postcards

Step-by-step explanation:

2x8= 16

so u need to multiply 2 postcard x 8 vacation days = 16 postcards

( i hope this makes sense )

Plz help! Are they right? The questions are below!

Answers

Answer:

The sencond is wrong but the first is good

Step-by-step explanation:

can y’all help me out on this ?

Answers

Answer:

D. rectangle

Step-by-step explanation:

The slopes of 2 lines are perpendicular when they are the negative reciprocal of each other. In this case, that is true, because 3 is the negative reciprocal of -1/3 and vice versa. This means it's either a rectangle or a square.

The lengths of the lines are not all the same, meaning it cannot be a square.

Therefore, the best name for the quadrilateral MATH is rectangle.

I hope this helped.

What are the angles of this shapes?
PHOTO ABOVE

Answers

Answer:

For shape 1, the angle would be 360/8 = 45 degrees

For shape 2, as it doesn't have rotational symmetry, it would just be 360 degrees.

If this answer is helpful, mark as brainliest

Any questions can be asked in comments

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