Determine if the type of sequence of the following terms.
2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question

Answers

Answer 1

Answer:

B: polynomial

Step-by-step explanation:

The sequence given is;

2, 5, 10, 17, 26, 37,...

From this sequence, the first difference between consecutive terms is respectively;

3, 5, 7, 9, 11...

We can see that the differences gotten are not constant.

Now, let's find the second difference between the consecutive first differences respectively;

2, 2, 2, 2...

This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;

f(x) = an² + bx + c

Where the quadratic coefficient is two times the second difference.

Thus;

2a = 2

a = 1

And where c is the 0th term.

Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.


Related Questions

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 359+558 Round the two numbers to the nearest ten. An estimate of the sum is:______. The actual sum is How reasonable is your estimate when compared to the actual answer? A. Not reasonable. The estimate seems too low compared to the actual answer B. Reasonable. The estimate seems a little tower compared to the actual answer. C Reasonable. The estimate sooms a little higher compared to the actual answer. D. Not reasonable. The estimate seems too high compared to the actual answer

Answers

Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer

Step-by-step explanation:

The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920

The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.

What is x 7x + 9 = 30

Answers

Answer:

x=3

Step-by-step explanation:

7x+9=30

   7x=30-9

       =21

     x=21÷7

       =3

Carlos bought 4 pounds of carrots.

How many ounces of carrots did he buy?

Carlos bought ounces of carrots.

Answers

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Challenge: Solve x+3y=-6 for x. Then use your value for x to solve for y.

X=
Y=​

Answers

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

the rectangle prism below has a volume of 464 3/4 cubic meters. a- write an equation that could be used to find the length of the prism b- find the length, show your work.

PLEASE HELP!!

Answers

Answer:

ok

Step-by-step explanation:

please mark me brainleast

I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?

Answers

Answer:

See Explaination

Step-by-step explanation:

According To Question

In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent  & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

other Five Trignometry Functions Are as Follow

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

  Now For Other Trignometry Functions

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

identify EFG

Answer Options:

= 45
= 35
= 22.5
=27.5

Answers

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

show ur solving steps please

Answers

Answer:

Angle BAC corresponds with side length BC

Side length AC will correspond with angle ABC

Step-by-step explanation:

In a triangle, the side length will correspond to the angle opposite it and vice versa.

That is, the side length opposite angle A corresponds to the side of Angle A

Hence, in the triangle given above ;

Angle BAC corresponds with side length BC, because BC is opposite BAC

Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.

An increase in pay because of how well you do a job is called
A. longevity increase
B. promotional pay
C. performance pay
D. merit pay

Answers

Answer:

D. merit pay

An increase in pay because of how well you do a job is called merit pay.

Explanation:

Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.

if 125 men can do a piece of work in 120days, how many men would be sufficient to do the same work in 100days?​

Answers

Answer:

x =150 men

Step-by-step explanation:

Think of the total as workdays

125men* 120days = 15000 workdays

We still need 15000 workdays

100 days * x = 15000workdays

Divide by 100

x = 15000/ 100

x =150 men

Answer:

150 men

Step-by-step explanation:

120 × 125 = 15000

15000 ÷ 100

150

252k is a perfect square. Find any two possible values of k.​

Answers

7 and 28 are two answers i got

A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.

Answers

Answer:

c = 7p

Step-by-step explanation:

i think

f(x)=−2x
2
+8x−10
\text{Find }f(-4)
Find f(−4)

Answers

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

     = -2(16) -32-10

     = -32 -32-10

    = -74

A wave with a frequency of 60 hertz would generate 60 wave crests every

Answers

Answer is every second

- 1 7/8 + 2 1/4
Plz help im confused

Answers

The answer to this would be 3/8.

you just simplify the given terms, so -1 7/8 can be simplified into -15/8 and 2 1/4 can be simplified into 9/4, add those together to get a sum of 3 over 8 or 3/8.

Good Luck

[tex]0.375[/tex] ✅

Step-by-step explanation:

[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Determine the time 2 hours and 7 minutes after 22:57

Answers

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

To rent an instrument from the school it costs a $50 insurance fee and then $350 per day of use. If Sally rents her instrument for 25 days before she buys her own, how much did she have to pay to rent one?

Answers

Answer:

$2,500

Step-by-step explanation:

$350 per day for 25 days

350*25=2450

Add the 50 for insurance and that makes it 2500

If its wrong im sorry

Answer:

8800 is the amount before she buys her own instrument

Step-by-step explanation:

350 x 25 = 8750

8750 + 50 = 8800

Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36

Answers

9514 1404 393

Answer:

center: (-5, 0)radius: 6

Step-by-step explanation:

Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.

 (x -h)^2 +(y -k)^2 = r^2

You see that ...

 -h = +5   ⇒   h = -5

 -k = 0   ⇒   k = 0

  r^2 = 36   ⇒   r = √36 = 6

The center is (h, k) = (-5, 0), and the radius is r = 6.

Graph the inequality. y ≥ |x + 5| - 3

Answers

Answer:

1

Step-by-step explanation:

Please help me please help me if you don't know gently move your hand

i will make you brainliest with 15 points

Answers

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = , where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Find the area of 18 ft in height and 9 1/4 in base

Answers

Answer:

Triangle+ 83.25

Square/ Rectangle = 166.5

Step-by-step explanation:

I need the shape specified

Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)

Answers

Answer:

not equal to

Step-by-step explanation:

the ")" stands for excluding that last element.

Rewrite each side with a common base and solve. Round your answer to two decimal places.

3^4x=1/27

Answers

x = -3/4

Explanation:

3^(4x) = 1/27
3^(4x) = 27^(-1)
3^(4x) = 3^(-3)
4x = -3
x = -3/4

Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?

Answers

Answer:

She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )

Step-by-step explanation:

( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21

( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21

Jen should have done (x+3)(x-7) bc the middle value of the original equation needs to be equal to the two numerical values added together from the factored equation

Marinas bill for dinner totals $38.65, including tax. She leaves a 20% tip. How much is Marinas total? (pls hurry i’m in summer school rn and i need the answer)

Answers

9514 1404 393

Answer:

  $46.38

Step-by-step explanation:

When a 20% tip is added to the bill, the result is the bill being multiplied by a factor of (1 + 20%) = 1.20.

  1.20 × 38.65 = 46.38

Marina's total with the tip is $46.38.

[Pre-Calc] Please Help! I don’t know where to start. How do I do this?

Answers

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]

Cancel:

[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]

Let 1/cosθ = secθ:

[tex]\sec^2\theta -1=\tan^2\theta[/tex]

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

[tex]\tan^2\theta =\tan^2\theta[/tex]

Problem B)

We have:

[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]

Factor out a sine:

[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]

Distribute:

[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]

Problem C)

We have:

[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]

Cancel:

[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]

By definition:

[tex]\cot x = \cot x[/tex]

help pls ill give u brainlest

Answers

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

16²= 256265×π= 804.2 (1dp)

So therefore, the answer is A

Hope this helped!

hey this is my first post, does anyone know how to do this and find V?

Answers

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Suppose the probability of failure in a binomial experiment is 0.25. What is
the probability of success?
A. 0.65
B. 0.85
C. 0.75
D. 0.35

Answers

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

HELP PLZZZ !!

3. Solve the equation by factoring.
C^2 - 4c = 0

Answers

Answer:

0,4

Step-by-step explanation:

See image below:)

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