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

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

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:

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]

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

. 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

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

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

Can someone please help me​

Answers

uhhhhhhhhhhhhhhhhhhhh

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.

(4x +3)^2 + (3x - 2) (4x + 3) = ?​

Answers

Answer:

192x^4+304x^3+36x^2−135x−54

Step-by-step explanation:

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!

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!

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

please help me with this question fast!!!!

Answers

reflection and translation

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

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

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.

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

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:

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

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

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

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:

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.

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.

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

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

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:

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