Mathematics High School

HELP ASAP 40 POINTS

What is the equation for the nth term of the sequence
And what is the 52nd term of the sequence. -8,-12,-16

HELP ASAP 40 POINTS What Is The Equation For The Nth Term Of The Sequence And What Is The 52nd Term Of

Answers

Answer 1

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

Related Questions

cosas que aga sentir a una mujer bien​

Answers

Answer:

Talvez que las alagen o que todo sea como ella quiera?

No soy experto lo siento

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.​

Answers

Answer:

7.8

Step-by-step explanation:

1. 5^2 +6^2=x^2

2. 25+36 = x^2

3. 61=x^2

4. [tex]\sqrt{61}[/tex] = 7.8

Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?

Answers

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Pls help I don’t get it

Answers

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

I need help solving an angle in right triangle

Answers

Answer:

X=41.8°

went setting this up we know we have to use the Sin trig function because the Hypotenuse and the opposite side are being used. This makes our equation Sin x= 4/6.

This answer was incorrect.

I need this done! Decent amount of points for it (:

Answers

Answer:

umm its the quouto to the thing

Step-by-step explanation:

Answer:

Hope this helps!!

Step-by-step explanation:

#9(a)- 2x+7=10

#9(b)- ?

#9(c)- 2a+25

#9(d)- 30h=147

#9(e)- 4c+3t=21

#9(f)- 8c+2000=3600

I don't know about #9(c). So someone else will have to answer that one. Sorry.

enter a letter.
Line ____ is a transversal.​

Answers

Line C is a transversal line :D

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1,2)

Step-by-step explanation:

Answer:

x=1

Explanation:

3x+4*2x=11

(We move all terms to the left)

3x+4*2x-(11)=0

( We multiply elements )

3x+8x-11=0

(We add all the numbers together, and all the variables )

11x-11=0

( We move all terms containing x to the left, all other terms to the right )

11x=11

x=11÷11

x=1

A town has a population of 14,000 and grows at 2.5% every year what will be the population after five years to the nearest whole number

Answers

16000 is the correct answer

Cost to store: $55
Markup. 120%
selling price :

quickly please <3

Answers

Answer:

Determine your COGS (cost of goods sold). ...

Find out your gross profit by subtracting the cost from the revenue. ...

Divide profit by COGS.Step-by-step explanation:

Help plzzzzz plzzzzzzzzzzzzsszssssszzzDetermine the intercepts of the line.
y-intercept:
x-intercept:

Answers

Answer:

Step-by-step explanation:

x intercept: 3.5

y intercept: 2.5

Can someone please help me​

Answers

uhhhhhhhhhhhhhhhhhhhh

can someone help me the answer is not 8/25​

Answers

Answer:

29/90

Step-by-step explanation:

0.32     x10

3.22     -0.32

2.9       /9

2.9/9    x10/10

29/90

Answer:

29/90

Step-by-step explanation:

here if

f=0.32222....... — 1

10f=3.2222...... —2

now eq2-eq1

we get

9f=2.9

f=2.9/9

f=29/90

please help me with this question fast!!!!

Answers

reflection and translation

can someone please help me​

Answers

I believe it is B from what I did

Answer:

3[tex]\sqrt{15\\}[/tex]

Step-by-step explanation:

The school that Rob goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 adult tickets and 4 child tickets for a total of $89. The school took in $119 on the second day by selling 7 adult tickets and 14 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answers

Hint: create an equation. Ex. 7a + 4c = 89. If you need more help, let me know!

Peter works two part time jobs. He is paid $6 er hour at job a and $9 per hour at job b. Last wee eter worked a total of 24 hours at both jobs and madr $189. Hobmny hours dud peter work at job a?

Answers

Answer: Peter worked 9 hours at job a

Step-by-step explanation:

Step 1

Let the number of hours worked in  job a = x

and number of hours worked in job b = y such that the total hours worked would be expressed as

x=y= 24 ---eqn 1

also since $6 and $9 dollar are paid per hour for the job  and the total amount made is $189, it should be expressed as

6x + 9y =$189--- equation 2

Step 2

Now we have gotten two expressions to solve for number of hours, we can now solve

x+y= 24 ---eqn 1

6x + 9y =$189--- eqn 2

Using elimination method, we multiply equation 1 by 6 and subtract from equation 2

6x + 9y =189

-6x+6y=144

3y=45

y= 45/3 =15

To find x

x+y = 24

x+15=24

x= 24-15

x= 9

fff

Therefore Peter worked 9 hours at job a  and 15 hours at job b

Please do number 19 for me.

Answers

angles in triangle add to 180 degrees
20x=180
x=9
Angle ABC is the top one
8x9=72

Answer:

[tex]x = 9[/tex]

[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]

[tex]plzz \: \: mark \: as \: brainliest[/tex]

three postal workers can sort a stack of mail in 30 minutes, 30 minutes, and 60 minutes, respectively. find how long it takes them to sort the mail if all three work together.

Answers

Answer:

it will take about 1/3 of the time (10 minutes)

Step-by-step explanation:

Answer:

Step-by-step explanation:

t/30+t/30+t/60=1

2t/60+2t/60+t/60=1

5t/60=1

5t=60

t=12 minutes

Will give BRIANLY
Select the equivalent expression.

Answers

The answer is C. It’s because you distribute the exponent on the outside by multiplying each exponent on the inside of the parenthesis.

. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon of vanilla.
What is the unit rate of cups per teaspoon?

Answers

X= 4/3 = 1 1/3 cups.
1 1/3 cups per 1 teaspoon of vanilla
To get to 1 tbs we multiply 1/2 by 2
If you do that to one side you have to do it to the next
2/3 x 2 is 4/e which simplifies to 1 1/3

A factory robot recently examined some bulbs, of which 4 were flawed and 26 were not. Considering this data, how many flawed bulbs would the robot be expected to find in a batch of 15 bulbs?

Answers

Answer:

2

Step-by-step explanation:

Given that:

Flawed bulbs = 4

Not flawed = 26

Total examined = (flawed + not flawed)

Total examined = (4 + 26) = 30

P(flawed) = flawed / total

P(flawed) = 4 / 30 = 0.1333333

If 15 is examined :

Expected number of flawed bulbs :

(4/30) * 15 = 2

7. If AHBN - ALYR, find the value of x.
B
R
*+11
28
Y 21
L
N
H
3x-7

Answers

Answer:

x = 13

Step-by-step explanation:

I created a proportion from similar sides HB ≈ LY and NH ≈ RL

28/21 = (3x - 7)/(x + 11)

then cross-multiply to get

28(x + 11) = 21(3x - 7)

28x + 308 = 63x - 147

28x = 63x - 455

-35x = -455

x = 13

(4x +3)^2 + (3x - 2) (4x + 3) = ?​

Answers

Answer:

192x^4+304x^3+36x^2−135x−54

Step-by-step explanation:

What is the average rate of change of f(x) = 1/4x²-4 over the interval from 0 to 3? ​

Answers

Answer:

no answer there is no answer from the choice

Find the gradient of the line segment between the points (2,2) and (0,6).

Answers

Answer:

slope-intercept formula ----->  Y2-Y1/X2-X1

Step-by-step explanation:

X1 = 2       X2= 0

Y1 = 2        Y2=6

6-2/0-2= -2

G= -2

Can the sides of a triangle have lengths 6, 13, and 14?

Answers

Answer:

Step-by-step explanation:

No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)

Answers

Answer:

The answer is 15

Step-by-step

if that didnt work sorry

Sum1 plsssss help plssss

Answers

Answer:

The answer is 2/3 divided by 2/9= 3

Step-by-step explanation:

It’s 2/3 hdhdhxhrjsnxnfjdnxjc

Write an equation to represent the following statement.
24 is 4 times as great as k.

Answers

Answer:

24 x 4 = k x 4

Step-by-step explanation:

Other Questions
How many people survived the water park? DESCRIBE HOW AUTHOR'S MOVE THE PLOT OF A STORY TO THE CLIMAX OF THE STORY. 1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest What are the three most important things that took place in this part of the story in "Cold Equation"? How did industrial production in the United States change following World War I? Help pleaseedeeeeeeeeeeeeeeee Which lists a geographical feature that has kept the Balkan Peninsula isolated, and a second feature that helps overcome that isolation? Surrounded by three seas/mountainous terrain Mountainous terrain/surrounded by three seas Alpine mountains/network of navigable rivers Network of non-navigable rivers/flat, inland plains Write 3435.332 out using words(Pic for friends) The following are examples of physical properties EXCEPT ____.color densityshapeability to react with oxygen Theo earned $500 selling food at a carnival. He earned $260 selling nachos and the rest selling hot dogs for $2 each. Theo used this equation to find h, the number of hot dogs he sold at the carnival. Which of the following describes a structure that both prokaryotic and eukaryotic cells have in common?A.) This membrane-bound organelle encloses the cells DNA and is where DNA replication occurs.B.) This organelle is composed of a stack of membrane sacs where proteins are modified and stored.C.) This organelle extracts energy stored in glucose molecules to power cell functions. D.) This organelle is composed of protein and RNA and is used to make proteins for the cell. ________________ allows your body to get the nutrients and energy it needs from the food you eat Which of the following is the best example of diffraction? what is the missing variable PSLS S S S S S S S s s s. Ss s s s s everything is above Find the 11th term of the geometric sequence 2, -6, 18, ... Brian tried to persuade an unsatisfied customer to take a certain new line of action. After discussing Brian's plan, thecustomer voiced his or her dissatisfaction with the new plan as well. What is their next step?O assessmentnegotiationO competingfollowing up Which word pair is an example of an eye rhyme?O A. Cough/thoughB. Weigh/prayO c. Blow/glowO D. Trim/track Help me plsssss I need. The question is confusing and so sorry if it blurry