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

Please help! I need help

Answers

Answer:

median is 32 and the mean is 21

Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places.

Answers

Answer:

13.75

Step-by-step explanation:

The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):

(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.

Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it.

At the end of the 4 years, how much interest in dollars and cents did the account earn?

Answers

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

pls help with number 3

Answers

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

Does anyone know the answer to this? If you do please answer!

Answers

Answer:

The Y axes

Step-by-step explanation:

Given the graph below, the equation in slope-intercept form is

Answers

Answer:

F(x)=-1x-5

Step-by-step explanation:

The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.

For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?

Answers

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

NEED HELP PLSSSSSS HELP MEEE

Answers

Answer:

Step-by-step explanation:

0 quarter = 20 dimes

dime to quarter = divide by 20

quarter to dime= multiply by 20

4 quarters = ? dimes

4 x 20 = 80 dimes

0 dimes = ? quarters

0/20 = 0 quarters

5 dimes = ? quarters

5/20 = 0.25 quarters

Answer: SORRY I WISH I CAN HELP YOU BUT PLZ DON´T GET MAD PLZ

Step-by-step explanation:

BUT I DID FIGURE THE FIRST ANSWER IS 13

Speed=60 km/h time= 2 hours 20 minutes, what is the distance?

Answers

Answer:

26km

Step-by-step explanation:

d=speed × time

d=60×2.33

d= 140km

The first quartile of a data set is 31, and the third quartile is 47. Which of these values in the data set is an outlier?

A) 8
B) 28
C) 63
D) 73

Answers

the answer to this is D

Answer: a.83

Step-by-step explanation:

apoooxe

In the diagram below, what is the approximate length of the minor arc AB?
A. 28.8 cm
60°
30 cm
B. 62.8 cm
c.
C. 15.7 cm
D. 31.4 cm

Answers

Answer:

31.4 cm , just did the quiz

Step-by-step explanation:

The length of the minor arc is 31.4 cm of the given circle.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Arc length is the distance between two points along a section of a curve.

The formula for arc length is θ/360×2πr

Arc length =  θ/360×2πr

Where θ is the central angle and r is the radius of the circle.

θ = 60 degrees and r is 30 cm

Plug in the value of θ and r

Arc length = 60/360 × 2×3.14×30

=1/6×60×3.14

=188.4/6

=31.4

Hence, the length of the minor arc is 31.4 cm of the given circle.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Only answer if ur sure... but ASAP please. Huge thank you to anyone that can help as i have an assignment due very soon. Brainliest if u get the correct answer!!
What is the equation of a line with a gradient of 2 that passes through (0,5)?

Answers

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

"Gradient" is another word for "slope." The given point (with x-coordinate equal to zero) is the y-intercept. So, it is easy to write the equation in slope-intercept form:

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 2x + 5

The measure of angle R is 3 degrees less than twice the measure of angle S. If the sum of the measures of the two angles is 72 degrees, find the measure of each angle.

Answers

2x-3+x=72
3x-3=72
3x=75
X=25
R=47 S=25

Measures of the given angles:

∠S = 25° and ∠R = 47°

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

There are two main parts related to an angle - the arms and the vertex.

Given,

Measure of angle R is 3 degrees less than twice the measure of angle S

⇒ 2∠S - ∠R = 3°        

⇒ ∠R = 2∠S - 3°         ------(a)

Sum of R and S

⇒ ∠R + ∠S = 72°      

Substituting ∠R in terms of ∠S in above equation from equation (a)

2∠S - 3° + ∠S = 72°

3∠S - 3° = 72°

3∠S = 72° + 3°

3∠S = 75°

∠S = 75°/3

∠S = 25°

Substituting value of ∠S in equation (a)

∠R = 2 × 25° - 3°

∠R = 50° - 3°

∠R = 47°

Hence, ∠S = 25° and ∠R = 47° are the measures of given angles.

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ5

Can I please have some help with this question

Answers

Answer:

60

Step-by-step explanation:

2a is more than 90 so it is more likely to be 120

so divide that by 2 and 60

Answer:i think a=120

f(x)=3x2+2x−3

g(x)=2x+4

Answers

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

Someone plz help me show your work!

Answers

Answer:

1/6

Step-by-step explanation:

We know that 1/2 are apples and 1/3 are bananas

we also know that

apples+bananas+oranges=1

Which means that

1/2+1/3+oranges=1

Add 1/2 + 1/3 by getting the denominators equal

3/6+2/6=5/6

Which means that 5/6+oranges=1

1-5/6=1/6

1/6

write everything below this

1/2+1/3+oranges=1

1/2+1/3=5/6

5/6+oranges=1

oranges=1-5/6

oranges=1/6

please help i cant figure this out :/

Answers

Answer:

6,15

Step-by-step explanation:

A dilation is the changing of a size. A scale factor is a proportional number that tells us how much we change a shape.

If the scale factor is over 1, the new image will stretch.

If the scale factor is under 1, the new image will shrink

Since we are asked to find A' (which is prime notation) meaning that we are asked to find the coordinates where A' is at on the new image.

Since the scale factor is 3,

3 is greater than 1 so it will stretch.

Now, multiply 3 to each number

to find it new location.

[tex] \frac{2}{5} \times \frac{3}{3} = \frac{6}{15} [/tex]

So the coordinates are at 6,15

Answer:

I'm pretty sure you multiply each number in (2,5) by the 3 to get new coordinates of (6,15)

that's the only answer that could fit :)

HELP FOLKS PLEASE ( i don't have much time)

Answers

Tan Angle y= 7/4
Tan Angle z= 4/7

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

an ice skating rink rents out skates for 5.50 per hour you have 22.00 to spend how many hours can you rent a pair of skates?

Answers

It would be four hours. Hope this helps ✌️

There are 195 adults and 320 children at a zoo. The zoo makes a total of $6,515 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system.

Answers

Answer:

a+c=27

195a+320c=6515

Step-by-step explanation:

adult (a): 195

children (c): 320

total $: $6515

child $: 27

a+c=27 --> c=-a+27

195a+320c=6515

sub the first equation into the 2nd equation to get a=17

sub a=17 into c=-a+27 to get c=10

so, an adult ticket is $17 and a child ticket is $10.



The right triangle below is formed by squares A, B, and, C. Square A has an area of 9 meters and Square C has an area
of 16 square meters. What is the area of Square B?

A.) 6 square feet
B.) 18 square feet
C.) 5 square feet
D.) 25 square feet

Answers

Answer:

I think it's 18 square feet

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

Answers

Buying 6.2 oz for $2.97 is the better buy.

A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of the staircase is 12 feet, the base of the stairs will be 6 feet from the wall. How long does the temporary ramp need to be to the nearest tenth of a foot?

Answers

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

Can some one please help me

Answers

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

Please help this was due yesterday!

Answers

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

interest earned:? principal: 250$ interest rate: 4% time: 2 years

Answers

First begin with the interest formula.

Interest = Principal x Rate x Time

The $250 is the principal is the amount of money invested.

The rate is 4% which translates to the decimal .04.

The time is 5 years.

So we have I = (250)(.04)(2).

Multiplying, (25)(.04) is 10 and we have 10(2) which is 20.

This means that the interest earned in 2 years is $20.

If 9x + 10=y what is y??

Answers

Answer:

above beat me to it he is right

Answer 2,3,and 4
I really need help


thx

Answers

Answer:

where is the thing to answer

Answer:

Ok im going on your page to see the question

a bag of pretzels origanally came with 16 ounces of pretzels it now has 30% more how much does the bag come with now

Answers

Answer:

20.8 I'm pretty sure....

Answer:

20.8

Step-by-step explanation:

130/100=1.3

1.3*16=20.8

-x+5+4x
simply the expression

Answers

Answer:

3x+5

Step-by-step explanation:

Other Questions
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now? Read the excerpt from a short story.When Charlie Robbins showed up at the pool for swim team tryouts, Marquise Dawson laughed out loud. "When did you learn to swim," he shouted, "yesterday?" Brent Harris laughed and high-fived Marquise. John Frederick gave them both a look and motioned for Charlie to join him at the other side of the pool. Being the new kid always had its challenges, but Charlie had moved many times and knew how to handle boys like Marquise and Brent.Who is the protagonist in this story?Charlie Robbins Marquise DawsonBrent HarrisJohn FrederickTHE ANSWER IS A, CHARLES ROBBINS. "When he led marches, people were angry... Even though people shouted at him, he keptmarching." What does this quote from paragraph 2 reveal about Dr. King's character orpoint of view, especially as a leader? Qu tema se seala en "Yo no... a otro" (prrafo 13) ? A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft Find f(g(3)) given:*f (x) = 2x2 1g(x) = 3xh(x) =j(x) = x - 5 what is the 2nd month of the year? Work out the area of a square with base = 1cm The first people to live in Washington werefarmers.hunter-gatherers.merchants.explorers. Solve the equation for x. If necessary round to the nearest tenth.x = 17X=+ it takes carina on average 20 minutes to assemble product x . how many of products x can carina be expected to assemble in 3 hours and 40 minutes if she takes a 20 minute work break during her assembly time 53.53x 10 power of 2 y is inversely proportional to the cube root of xWhen y = 2500, x = 64(a) Find the value of y when x = 8(b) Find the value of x when y = 2000 Question is in the Picutre attached. Please help and please I need help:) If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza? The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants? Can Someone Help With this? I'm not good at Music (the subject). What I'm asking for is listening to the song(s) and answer the question below that song.Here are the songs to answer the questions:1) Dave Brubeck - Take Five2) MGMT - Electric Feel3) Mission: Impossible (Original) Theme Song4) Dave Brubeck - Blue Rondo a la Turk5) Led Zeppelin - The OceanAlso, sorry I couldn't put any links here. Brainly won't let me put links in my question (and it's considered spam unfortunately). Who here watches anime??!(I sure do lol) Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kaylas number?