Pattern: 4, 10, 18, 28, 40, 54, 70, 88, 108, 130

Since the second difference is constant in the pattern above, the algebraic

expression will have degree 2. In an expression of degree 2, the largest

exponent is 2. Therefore, we know that the expression for this pattern must

include n^2. What is the algebraic expression for the nth term in this pattern?

Answers

Answer 1

Answer:

The algebraic expression for the nth term in this pattern is n^2 + 3n

Step-by-step explanation:

We want an algebraic expression for the nth term in this pattern.

Like we are told, there must be an expression that includes the term n^2

So therefore;

We need to express each of the terms to include the n^2 term

Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.

for 4; 1^2 + 3(1)

For 10; 2^2 + 3(2)

For 18; 3^3 + 3(3)

For 28; 4^2 + 3(4)

For 50; 5^2 + 3(5)

So the nth term will be;

n^2 + 3n


Related Questions

Given A(-3, 8), find the coordinates of the point B such that C(5, -8) is the midpoint of segment AB.

Answers

Answer:

13, -16

Step-by-step explanation:

pleaseeeeeeeeeeee brainliest

Answers

Answer:

what?

Step-by-step explanation:

A flat screen television measures diagonally 40 inches and 24 inches in length. What is the width of the television?

Answers

Answer:

The width of the Television is 32 inches.

Step-by-step explanation:

It seems as if the hypotenuse of the triangle is 40 inches, and one of the side lengths of it is 24 inches.

a2+b2=c2

So if we square 40 we get 1600, which is c2

If we square 24, we get 576, which is a2.

Then you solve, 576+b2=1600

you get b2=1600

Then you get the square root of both sides which in turn gives you the answer

b=32, which is the width of the television.

Step-by-step explanation:

use the pythagorean theorem c^2 = a^2 + b^2 diagonal is the hypotenuse...

40^2 = 24^2 + b^2

b^2 = 40^2 - 24^2

b =

[tex] b = \sqrt{40 {}^{2} - 24 {}^{2} } [/tex]

Find the derivative of log e^((1+tan x)) w.r.t x​

Answers

Hope this will help you

how much kinetic energy does a 4 kg cats have while at 9 m/s​

Answers

Answer:

162 Joules

Step-by-step explanation:

Remember, the equation for the kinetic energy of an object is:

[tex]K=\frac{1}{2}mv^{2}[/tex]

where m is the mass of the object in kg (kilograms), v is the velocity of the object in m/s (meters per second), and K is the kinetic energy of the object in J (joules).

We are given that the cat's mass is 4 kg. We will use this for m. We are also given that the cat is moving at 9 m/s. This would be it's speed. We can use this for velocity, or v. Plugging in we get:

[tex]K=\frac{1}{2}mv^{2}=\frac{1}{2}(4)(9)^{2}=(2)(81)=162[/tex]

So K, or the kinetic energy, would be 162J.

I hope you find my answer and explanation to be helpful. Happy studying.

Which expression is equivalent to (3x+2)(3x-5)?

Answers

Answer:

9x^2-9x-10

Step-by-step explanation:

im not sure what the question is asking but if u multiply it all out that is what it equals

hope this helps

Which graph best represents an increasing function?

A graph shows a non linear curve that joins the ordered pairs 0, 0, and 2.5, 1, and 4, 3.
A graph shows a non linear curve that joins the ordered pairs 0, 4 and 2, 1.5, and 4, 0.
A graph shows a straight line that joins the ordered pairs 0, 4 and 4, 4.
A graph shows a vertical straight line that joins the ordered pairs 4, 0 and 4, 4.

Answers

The graph that best represents an increasing function is (a) A graph shows a non linear curve that joins the ordered pairs (0, 0), and (2.5, 1), and (4, 3).

How to determine the graph that represents an increasing function

For a graph to represent an increasing function, then as the input values increases, the output values must also increase

This means that:

As the x values increases, the y values must also increase

Hence, the graph that best represents an increasing function is (a)

This is so because as x increases from 0 through 2.5 to 4, y increases from 0 through 1 to 3

Read more about increasing functions at:

https://brainly.com/question/2387399

Write and solve an equation to find the value of x and the missing angle measures.

Answers

Equation: (44x+1) + (14x+5) = 180
X = 3

Evaluate
(y + z)^2when y = -8, z =19

Answers

Answer:

Substitute the value of the variable into the expression and simplify.

121

Step-by-step explanation:

Step-by-step explanation:

(y + z)^2

substitute in the given

y = -8, z = 19

(-8 + 19)^2

(11)^2

121

Hope this helps :)

What's the answer? please help

Answers

Answer:

it's 3.

Step-by-step explanation:

10-4/5-3

6/2

3..

Algebra ll Unit 12020-21
COLOR THEME
Q Q ZOOM
5. The graph of the absolute value function y = 2 (x + 3)- 2 is given. What
is the solution for 2 when y = -2?

Answers

Answer:

-3 is the complex solution

what is the value of k?​

Answers

Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.

What is the place value of the
underlined digit?
2,455,037

Answers

Answer:

millions

Step-by-step explanation:

Its millions because the 4 is hundred thousands

what is the range of this function?​

Answers

Answer:

13,13,10,-15

Step-by-step explanation:

PLZ HALP YALL..............

Answers

Answer:

-6

Step-by-step explanation:

make since trust

its right trust

Answer:

-6

Step-by-step explanation:

-5-1

-5+-1

=-6

I think lol

d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 feet long. Harry's fish is 2 yards long. Who caught the longest fish?

Answers

No it’s berry 2yards=6feet so they are all smaller than berrys 7foot fish

Select the locations on the number line to plot the points 10/2 and 9/2​

Answers

Answer:

Well, 10/2 is actually 5, so the first point would be at 5 on the number line. -9/2 is -4 1/2 as a mixed number. So, the point for -9/2 would be on the right of -5.

Hope this helps! c:

what is the midpoint of _
AB

Answers

Answer:

The answer is C

Step-by-step explanation:

Its the midpoint of A and B

Idk try to look it up you’ll find it

Which of these sets of numbers is correctly ordered from least to greatest?
Save and Exit

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

the answer is B (-5, -2, 3, 5)

Step-by-step explanation:

negative numbers are less than zero, so the "higher" the negative number the less it is (-2> -5) :)

Find the value of 5x-2 given that --3x+6=3.
Simplify your answer as much as possible.

Answers

Answer:

-37

Step-by-step explanation:

-3x/-3=x

3/-3=-1

-1-6=-7

x=-7

5(-7)=-35

-35-2=-37

is y= -2x proportional

Answers

Answer: yes

Step-by-step explanation:

the approximate diameter of five planets are listed below.
earth:11,800
saturn:1.2 x 10^4
neptune: 5.0 x 10^3
mars:4800


which lost shows the order from the least diameter to the greatest diameter?
A. Mars, Neptune, Earth, Saturn
B. Mars, Saturn, Neptune, Earth
C. Mars, Earth, Neptune, Saturn
D. Mars, Earth, Saturn, Neptune

Answers

Answer:

A. mars, Neptune, earth, Saturn

Step-by-step explanation:

Saturn's diameter is 1.2 × 10^4 which equals 12,000

While Neptune diameter is 5.0 × 10^3 which equals 5000

and so we have all the stats given in the same format and so we can sort them in smallest to biggest as the answer above!

Select all the expressions that equal -2 + 5.

Answers

All of the answer choices except B would be correct for this problem.

Answer:

The answers are A, C and D

construction company builds an average of 48 houses per year. How many houses per month does the company build?

Answers

The company builds 4 house per month because 48(house per year) divided by 12(the number of months in a year) equals 4.

My question is

-x/9 = -8

Answers

Is this 10 points...
The answer is -72.

I multiply 9 and -8 which equals to -72.

Then, to check the answer, I divided -72 by 9 which equals to -8.

Hope this helps.

Which equation represents a proportional relationship? y = 9x y = 9x , y = 9x + 1 y = 9x + 1 , y = 9x + 9

Answers

Answer: the answer is y=9x

Step-by-step explanation:

Caleb was given a gift card for a coffee shop. Each morning, Caleb uses the card to buy one cup of coffee. The original amount of money on the gift card was $45 and after buying 8 cups of coffee, the card had a $25 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

Answers

Answer:A= -2.50x + 45

Step-by-step explanation:

What is the function equation of this table? I will make you brainiest!!!!

Answers

Answer:

[tex]f(x)=x[/tex]

Step-by-step explanation:

Since the numbers are the same on both sides for every value, the equation would be [tex]f(x)=x[/tex].

HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,
brown hair, or both.
*picture*
Determine whether each inequalities must be true. Explain your reasoning.
(Choices in photos)

Answers

Answer:

a. true; the # brown hair is either greater than or equal to the # of brown eyes

b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal

c. true; the # of brown hair can only be greater than the # of both brown hair & eyes

d. false; the # of brown hair + 10 can only be greater then the # of both, not equal

e. true; the # of brown hair can only be greater then the # of both brown hair & eyes

f. true; the # of brown hair + 10 can only be greater then the # of both

Step-by-step explanation:

hope this helped you out

Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.

Size of brown hair = H

Size of brown eyes = E

Size of those who have both = X

From the Venn diagram given ; we can deduce that H = E

Evaluating the inequalities :

H ≥ E is True because H = E

H ≥ X is True because proportion of H is more than X

H > X is True because proportion of H is more than X

H + 10 ≥ E is must not always be True because H = E ; adding 10 more to H will make H more than E always.

H + 10 ≥ X is False because proportion of H is more than X, adding 10 more to H, the proportion gets bigger

H + 10 > X is True because proportion of H is more than X

Therefore, only the inequalities A, C, E and F must always be true.

Learn more : https://brainly.com/question/12570490

what's the answer? please help

Answers

Answer:

the slope is 1/2.

Step-by-step explanation:

6-1/0-(-10)

5/10

1/2

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