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:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31


Related Questions

Aha:/ help me please

Answers

Step-by-step explanation:

y<3x-6,x=0 for y>-3x-5,y=0

y<-6 x<-5/3

y=0,x>2 x=0, y>-5

therefore, values of x will be 2<x>-5/3

and values of y will be -5<y>-6

so the point will be (-9,-1)

hope it helps.

calculate without using tables the values of
(1+√2)⁴ - (1-√2)⁴​

Answers

Answer:  24*sqrt(2)

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

Work Shown:

A = 1+sqrt(2)

B = 1-sqrt(2)

-------------------

Using A and B, let's add and subtract those values

A+B = (1+sqrt(2))+(1-sqrt(2))

A+B = 1+sqrt(2)+1-sqrt(2)

A+B = 1+1+sqrt(2)-sqrt(2)

A+B = 2

and

A-B = (1+sqrt(2))-(1-sqrt(2))

A-B = 1+sqrt(2)-1+sqrt(2)

A-B = 1-1+sqrt(2)+sqrt(2)

A-B = 2sqrt(2)

-------------------

Next, square both sides of the A equation

A^2 = (1+sqrt(2))^2

A^2 = (1+sqrt(2))(1+sqrt(2))

A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))

A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)

A^2 = 1+2sqrt(2)+2

A^2 = 3+2sqrt(2)

-------------------

Do the same for B

B^2 = (1-sqrt(2))^2

B^2 = (1-sqrt(2))(1-sqrt(2))

B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))

B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))

B^2 = 1-2sqrt(2)+2

B^2 = 3-2sqrt(2)

There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.

-------------------

Lets add A^2 to B^2

A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))

A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)

A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)

A^2+B^2 = 6

-------------------

Now onto the final event

We'll use the difference of squares rule twice

Afterward, apply substitution using the previous sections above.

A^4 - B^4 = (A^2)^2 - (B^2)^2

A^4 - B^4 = (A^2-B^2)(A^2+B^2)

A^4 - B^4 = (A-B)(A+B)(A^2+B^2)

A^4 - B^4 = (2sqrt(2))(2)(6)

A^4 - B^4 = 2*6*2*sqrt(2)

A^4 - B^4 = 24*sqrt(2)

(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)

-------------------

To check this with your calculator, you can type in the following

(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)

The result you should get should be 0, or very close to it

I'm using the property that if x = y, then x-y = 0.

( worth 74 points and brainliest pls help)

Answers

Answer:

40 CM

Step-by-step explanation:

If you check the measurement

of the other line, it will NOT match the one

on the side. It is a few centimeters bigger than the bottom.

hope this helps! <3

Answer:

[tex]\Large \boxed{\sf 40}[/tex]

Step-by-step explanation:

The triangle is a right-angled triangle

Use Pythagorean Theorem formula to solve for hypotenuse

[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]

Substitute in the values

[tex]\displaystyle c=\sqrt{24^2+32^2}=40[/tex]

Find the value of f(-6).
y = f(x)

Answers

Answer:

i believe the answer is 4

Step-by-step explanation:

What is the slope of the line that passes through the points (5, -11) and (-2, 10)?

Answers

the slope for this is -3 :)

A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
sales.

Answers

Answer:

$3,000

Step-by-step explanation:

you add $3 to $12 and that's $15.so,know you multi..15 by 200.

please help asap!!!!!!!!

Answers

Answer:

y=-3x-5

Step-by-step explanation:

y = mx+b

m= -11 - 1

       2 - -2

y=-3x+b

(-2,1) and (2,-11)

is

y=-3x-5

Hope this Helps:)

Solve for x,
3x+5=14

Answers

Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3


What two perfect squares does 11 sit in
between?

Answers

I think the answer is 9 and 16

IF f(x) = -3x – 2; FIND f(3)

Answers

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

how do I solve -15+w=6​

Answers

Ans

Add 15 to 6  so w= 21

Step-by-step explanation:

write a situation to represent the equation y=0.5x

Answers

Answer:

Johnny earns 50 cents each hour, x.

Step-by-step explanation:

Answer:

Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy

A system of equations is shown below:

2x = 5y + 4
3x − 2y = −16

What is the solution to this system of equations? (5 points)

Answers

Answer:

x = -8, y = -4

Step-by-step explanation:

First we want to write the equations so the variables line up

[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]

Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.

I will choose to cancel out the x's

[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]

add the equations and solve

[tex]11y = -44\\y = -4[/tex]

once you have one variable, you can use it to solve the other

[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]

verify

[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]

it works

So the answer is
X = -8
Y = -4
Here is the working

a number k is less than 3 units from 10

Answers

Answer:

-7 < k < 7

Step-by-step explanation:

The absolute value of the variable k will be less than 7.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A number k is less than 3 units from 10. Then the equation is given as

k + 3 < 10

Simplify the equation, then the value of the variable k will be

k + 3 < 10

k < 10 - 3

k < 7

The absolute value of the variable k will be less than 7.

Your question was incomplete, your question was probably be...

A number k is less than 3 units from 10.

What's the absolute value inequality?

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

What’s is the absolute value of -6? use the number line to help answer the question.


Please help I’ll mark you brainliest and give you a good rating!

Answers

Answer:

6

Step-by-step explanation:

So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

Answer:

C (6)

Step-by-step explanation:

The absolute value of -6 is 6 since it's 6 spots away from the 0 on the number line

I need help! yes I’m this dumb

Find The Unit Rate:
150 students for 5 classes. How many students per class?

Answers

Answer:

30 student

Step-by-step explanation:

150/5=30

Answer:

he unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!

I don’t understand can u please get help

Answers

Answer:

If one angel is 74 so the solution is

[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]

Step-by-step explanation:

Please mark as brainliest

Is anyone good a geometry

Answers

Answer:

IT dependsssss

Step-by-step explanation:

what kind?

Please help! I’ll give BRAINLIEST :))

If the converse of a statement is true, can you determine wether the inverse of the statement is true without seeing the actual statement? Explain please!

Answers

Answer:

yes

Step-by-step explanation:

well converse is

If q, then p

and inverse is

If no p, then not q

butttttt lets put this in human terms

If I am allergic to donuts, then I don't like to eat donuts.

and the inverse is

If I don't like to eat donuts, then I am allergic to donuts.

It is true no matter what! However, there could also be other reasons you don't liek donuts but nonthless this is one true reason that exists bc converse.

What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.

Answers

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

im failing pls help !!!!!

Answers

Answer:

ill suck ya wang

Step-by-step explanation:5$ and ill suck yo wang to do your homework

Answer:

It is C.

Step-by-step explanation:

If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.

Therefore, it is C.

Find the rate of change ​

Answers

Answer:

6 to 4 or 3 to 2

Step-by-step explanation:

To sove we need to find hypatonuse which you can do by counting across the bottom whichis 4 units and across the top which is 6 units so 6/4 which is 3 to 2 or 6 to 4

Find the percent of change
if the price of a $10 game is
marked up to $15.

Answers

Answer:

50%

Step-by-step explanation:

10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.


Please help me it’s timed! :,(

Answers

Answer:

A = 0.5714

basically the answer is option (d)

Solve each equation for x.
8. d= f+ fx

Answers

Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

-1/2 x+1 = -x+8

choices:
7
1/2
14
18

Answers

Answer:

14

Step-by-step explanation:

can you please mark this brainliest if it helped? <3

Answer:

x =14

Step-by-step explanation:

-1/2 x+1 = -x+8

Add x to each side

-1/2 x +x+1 = -x+x+8

1/2x +1 = 8

Subtract 1 from each side

1/2x +1-1- =8-1

1/2x = 7

Multiply each side by 2

1/2x *2 =7*2

x =14

A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950

Answers

Answer:

J. $950

Step-by-step explanation:

p(n)= 10n-50

p(n)=10(100)-50

P(n)=1000-50

950

The answer is j-950

Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.

Answers

is (-35)+50x one of the options

Answer: 35x+50x_<(less than or equal to)1,325

Step-by-step explanation:

it’s easy and I’m taking the test and got it right

Please read and analyze the prompt and answer both A and B to receive full credit. Both parts of the question must be written in a complete sentence.

a. On a hot day, a football team drank an entire 50- gallon cooler of water and half as much again. How much water did they drink?

b. Jada has 12 library books checked out and Han has LaTeX: \frac{1}{3}1 3 less than that. How many books does Han have checked out?

Answers

Answer:

b. Graph each equation. c. How long will it be before Alberto has read more ... Since the answer works in both equations, (3.1, 115) ... First, solve the first equation for y to get 2x − 6 = y.

if x+y=10 and x-y=6 , what is the value of x³-y³​

Answers

Answer:

[tex]\huge\boxed{x^3-y^3=508}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504[/tex]

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