Find the next three terms of the sequence: 33, 25, 18, 12, …….
a) 7, 2, -1
b) 8, 3, 0
c) 7, 3, 0
d) 6, 2, -1
pls help and show work

Answers

Answer 1
The answer is D just keep subtracting 6
Answer 2

The required terms are 7, 3 and 0. The correct option is (c).

What is an arithmetic sequence?

An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.

This difference is known as the common difference of the sequence.

The given sequence is as below,

33, 25, 18, 12, …….

The difference between the consecutive terms is given as,

D₁ = 25 - 33

    = -8

D₂ = 18 - 25

     = -7

D₃ = 12 - 18

    = -6

It is clear that the difference between the consecutive terms are in arithmetic progression.

Thus, the next differences can be found as,

D₄ = -6 + 1

     = -5

D₅ = -5 + 1

    = -4  

And, D₆ = -4 + 1

             = -3

The next three terms of the sequence can be written as,

12 - 5 =7, 7 - 4 = 3, 3 - 3 = 0.

Hence, the next three terms of the given sequence are 7, 3 and 0.

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Related Questions

What is the slope of the line?

Answers

Answer:

24'

Step-by-step explanation:

the slop aims for the angle in which the 78 can go in: hope this helps!!

Ok so the slope of this line is approximately (2,1)

What is the difference between a co-payment and co-insurance?

a. Co-payment refers to two spouses paying for the same coverage, and co-insurance refers to

two spouses receiving the same benefits.

b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the

costs incurred.

C. Co-payment is when a group of individuals work to cover each other's medical expenses, and

co-insurance is when an individual has multiple insurance policies from different companies.

d. A co-payment is when an employer helps an employee pay for insurance premiums, and co-

insurance is when an employer helps an employee find better insurance than they could alone.

Answers

Answer:

b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Step-by-step explanation:

A co-payment can be defined as a relatively small fixed amount of money that is required to be paid by a patient (insured) to a service provider such as a health insurer (health maintenance organization-HMO) as medical expenses before receiving any other service. Some examples of co-payment are the payment of $15 for a visiting gynecologist, £5 for prescribed drugs, ¥20 for x-ray etc.

On the other hand, co-insurance can be defined as the amount of money a patient (insured) is required to pay for a claim or covered charge after a deductible have been satisfied and it is typically expressed as a percentage of the costs incurred. It is usually split between the policyholder and the insurer on a 20% to 80% basis.

Hence, the difference between a co-payment and co-insurance is that, co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Answer:

answer is b :P

Step-by-step explanation:

Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card?

Answers

Answer:

give me 1hour

Step-by-step explanation:

The factors of two numbers are given below: Number 1: 1, 2, 3, 6, 9, 18. Number 2: 1, 2, 3, 4, 6, 12. What is the least common multiple of the numbers?

Answers

Answer:

36 is your answer hope this helps

5+
= 2
3
What the integer that makes the following addition sentence true

Answers

Answer:3

Step-by-step explanation:

Just add the numbers backwards

Answer:

the answer is -3

Step-by-step explanation:

5+-3=2

5-3=2

Common factor 9 and 45​

Answers

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

The COMMON FACTORS of 9 and 45 are 9, 3, 1.
hope this helps x

In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.

Answers

Applying the exterior angle of a triangle theorem, m<WUV = 36°

What is the Exterior Angle of a Triangle Theorem?

The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.

Applying the exterior angle of a triangle theorem:

m<WUV + m<UVW = m<VWX

Substitute

2x + 8 + 3x + 16 = 8x - 18

Add like terms

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

-3x/-3 = -42/-3

x = 14

m<WUV = 2x + 8

Plug in the value of x

m<WUV = 2(14) + 8

m<WUV = 28 + 8

m<WUV = 36°

Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°

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Solve for x in angle bisector please

Answers

Answer:

x = 15

Step-by-step explanation:

Since, BX is the bisector of [tex] \angle BAC[/tex]

[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\

\therefore 24= \frac {1}{2}\times (4x - 12)\\\\

\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\

\therefore 24= (2x - 6)\\\\

\therefore 24 = 2x - 6 \\ \\

\therefore 24 +6 = 2x\\\\

\therefore 30 = 2x \\\\

\therefore x = \frac{30}{2} \\\\

\therefore x = 15

[/tex]

A motorcycle make 100 revelation in moving a distance of 220m find the diameter of the wheel​

Answers

Answer:

Step-by-step explanation:

If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.

That's the same thing as saying that the wheel has a circumference of 2.2 meters.

Circumference = 2*pi * r = pi * d

2 = pi * d

2 = 3.14 * d

2/3.14 = d

d = 0.6369 meters

Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?
$5.00
$6.00
$8.00
$10.00

Answers

Answer: $10.00
Explanation: round 6.2 down to 6, and round $56.00 up to $60.00 and then see which answer choice fits. 10 multiplied by 6 is 60 which would mean about 1 pound of pecans costs $10.00

Answer:

The correct answer is D

What is the value of P(C or T)?

A.

B.

C.

D

Answers

MARK ME AS A BRAINLIST..........

Hugh sold 4 cars during a 5 hour shift, and later sold 12 cars sold during a 15 hour shift.
Determine whether these relationships are proportional. Explain your reasoning.


PLSSSS HELPPPP!!!

Answers

Answer:

Yes they are proportional because he is selling cars at the same rate

Step-by-step explanation:

What is the value of x

Answers

The value of x is 28
Answer :28
Explanation:
As we know that the horizontal lines are parallel, then we know that :
4x+4x+2x+12+2x+12=360
12x+24=360
12x=336
x=28

Fruit flies, like almost all other living organisms, have built-in circadian rhythms that keep time even in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior, such as the frequency of wingbeats in male courtship behaviors. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. But do these two mutations affect copulation time in similar ways? The following table summarizes some data on the duration of copulation for flies that carry either the tim mutation or the per mutation (Beaver and Giebultowicz 2004).

Mutation Mean copulation duration (min) Standard deviation of copulation duration Sample size, n
per 17.5 3.37 14
tim 19.9 2.47 17

Assume that the copulation time data are normally distributed. Do tim and per mutations lead to different mean copulation durations? Determine the absolute value of the test statistic for the appropriate test.

Answers

Answer:

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

The  test statistics is  [tex]z =-2.2187[/tex]

Step-by-step explanation:

From the question we are told that

    The Mutation Mean copulation duration is for  per [tex]\= x_1 = 17.5[/tex]

     The Mutation Mean copulation duration is for tim [tex]\= x_2 = 19.9[/tex]

     The Mutation Standard deviation copulation duration for is  per [tex]s _1 = 3.37[/tex]

      The Mutation Standard deviation copulation duration for is   tim [tex]s _2 = 2.47[/tex]

       The sample size for per is  [tex]n_1 = 14[/tex]

       The sample size for tim is  [tex]n_2 = 17[/tex]

The null hypothesis  is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative  hypothesis  is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{\=x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2 }{n_2} } }[/tex]

=>   [tex]z = \frac{17.5 - 19.9 }{ \sqrt{\frac{3.37^2 }{14} + \frac{2.47^2 }{17} } }[/tex]

=>   [tex]z =-2.2187[/tex]

From the z table  the area under the normal curve to the left corresponding to    -2.2187  is

    [tex]P(Z < -2.2187) = 0.013254[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z <-2.2187 )[/tex]

=>    [tex]p-value = 2 * 0.013254[/tex]

=>    [tex]p-value = 0.02651[/tex]

Let assume that the level of significance is  [tex]\alpha = 0.05[/tex]

So

 From the value  obtained we see that [tex]p-value < \alpha[/tex] hence  

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

Please help! Find X:
5

31

10

60

Answers

Answer:

x=10

Step-by-step explanation:

URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

41

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

The answer is 41 because x = 3

15 and 16 pls thank you ASAP ASAP

Answers

Number 16 is D & 15 is D because in number 16 8y can’t equal X but 8 can be in the X&Y’s place. As for number 15 the correct equation is 2y=0-4. Add to 2y and the equation is left with 2y=-4 divide that and you get a positive 2. Pls make my answer the Brainliest, I would rlly appreciate it...Please and Thank You!

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

A card is drawn from a deck of 52 cards. What is the probability that it is a 6 or club a ​?

Answers

Answer: 0.3077

Explanation: In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.

In all we get: 13+4−1/52=16/52=4/13≈0.3077

Hope this helps... Stay safe and have a great day/night!!!

Landon was taking a math test he finished 1/2 of the test in 357 hour how much of the test will he have done in one hour if he keeps the same pace

Answers

Answer: 1/714

Step-by-step explanation: Think about it

did you mean 3 hours and 57 minutes ?

A. Consider a t distribution with 16 degrees of freedom. Compute P (-1.63

B. Consider a t distribution with 13 degrees of freedom. Find the value of c
such that [tex]P (t \leq c)= 0.05[/tex] Round your answer to at least three decimal places.
c=

Answers

Answer:

2.456%

Step-by-step explanation:

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?

Answers

Answer:

The answer is 50 or 55.

Step-by-step explanation:

Answer:

The answer is 50

Step-by-step explanation:

i did test on edg

What is the range?
-3 -8 -5 0 1 -2 -5 4 6

Answers

Answer:

14

Step-by-step explanation:

Range = Maximum value - minimum value

          = 6 - (-8)

          = 6 + 8

           =  14

Answer:

8- -5 -3 -2 0 1 4 6

What is 77/42 simplified into a fraction? My son needs help and he’s balling over it i feel very bad.☺️

Answers

Answer:

77/44 = 1 and 3/4

Step-by-step explanation:

77/44 can be simplified to 7/4 if you divide the numerator and denominator by 11.

4 can go into 7/4 1 time which leaves a remainder of 3/4

I hope this helped!

1 5/6 42 goes into 77 once.


step by step explanation:
so the whole number would be 1
77-42=35
so it’d be 1 35/42
the greatest common factor of 35 and 42 is 7.
divide both by 7
place whole number in front
final answer: 1 5/6


hope this helps!

How many groups of 5 are in the product of 523 and 45

Answers

there are 104.6 and 9 groups of 5 in 523 and 45

¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo

Answers

Answer:

?

Step-by-step explanation:

Please help me with your the question attached below. Please show work I would like to learn this.

THANK YOU!

Answers

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

m ∠5 = 67°m ∠7 =  67°

Step-by-step explanation:

Givena║b, m ∠ 113To findm ∠5, m ∠7Solution

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

m ∠7 = m ∠5 = 67°

(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)

Estimate and then solve 6,699 ÷ 72 = ___.

A) 92 r 4
B) 93 r 3
C) 94 r 3

Answers

Answer:

C) 93 r 3

Your Welcome! ^O^

   0 0 9 3

7 2 6 6 9 9

 − 0      

   6 6    

 −   0    

   6 6 9  

 − 6 4 8  

     2 1 9

   − 2 1 6

         3

Answer:

thats wrong the correct answer is 94 r 3

Step-by-step explanation:

Look at the scatter plot. Which of these equations is the best representation of the trend line?

A. y = -5x + 5

B. y = 5x + 5

C. y = -5x - 5

D. y = 5x - 5

Answers

B. y = 5x + 5

you can see that the y intercept is at positive 5 and the slope is also positive because the line continues upwards.

A robot can complete 7 tasks in 5/6 hour. Each tasks takes the same amount of time. A. How long does it take the robot to complete one tasks? B. How many tasks can the robot complete in 1 hour?

Answers

Step-by-step explanation:

5/6 = 50 minutes

50 divided by 7 = (your answer)

TJ-Maxx offered a 40% discount off the original
price of a head board. The amount of the discount
is $14. What is the regular price of the head
board?

HELP THIS IS IMPORTANT!!!!!!!!!

Answers

$23.34 - 40% will make it $14
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