1 of 5
What is the nth term rule of the linear sequence below?
2,5, 8, 11, 14, ...
w
Tn​

Answers

Answer 1

Answer: 3n-1

The difference between each of the numbers is 3.  This means that we have 3n.

If we assume that for the first number n=1, then 3*1=3, but the value we have is 2. This means that we must subtract 1 to get from 3 to 2.


Related Questions

rewrite the following polynomials in standard form

Answers

Answer:

x^2+3x+1/3

Step-by-step explanation:

the term with the highest degree comes first, then alphabetical order based on variables, then normal terms.


Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!

plz help and show how you did the math question

Answers

Answer:

[tex]x = - 3[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

[tex]x + 1= 5x + 13[/tex]

Subtract 1 from both sides

[tex]x = 5x + 12[/tex]

Subtract 5x from both sides

[tex] - 4x = 12[/tex]

Divide both sides by -4

[tex]x = - 3[/tex]

Now x=-3 into the top equation to find y

[tex] - 3 + 1 = - 2[/tex]

y=-2

A baker is filling equal-sized containers with sugar. Four pounds of sugar fill 1 1/3 containers. How many pounds fit in each container?

Answers

1/3 pound

This is messy to put into words. Hopefully someone else can clean it up for you.

1 1/3 divided by 4.

Make the 1 1/3 an improper fraction, = 4/3. It may help to think of the whole number, 4, as 4/1.
When dividing fractions, flip the bottom one and then multiply.

So 4/3 over 4/1 becomes
4/3 x 1/4 = 4/12 = 1/3

HELP ASAP what is 485x937?

Answers

Answer:

   485x937= 454445

Step-by-step explanation:

454445

I think Hope this helps <3

:) - Lexi

Find the length of side BC. Give your answer to 1 decimal place. It's a right angle triangle with a hypotenuse of 14cm and an angle of 58 degrees.

Answers

Answer:

11.9

Step-by-step explanation:

A pile of sand has a weight of 60 kg
The sand is put into a small bag, a medium bag and a large bag in the ratio 2:3:7
Work out the weight of the sand in each bag

Answers

Small bag = 2x

Medium bag = 3x

Large bag = 7x

2x + 3x + 7x = 60

12x = 60

x = 60/12

x = 5

Small bag = 2(5) = 10 kg

Medium bag = 3(5) = 15 kg

Large bag = 7(5) = 35 kg

Done.

What is the value of the expression below when y=
4 and z=
= 4
5y+7z

Answers

Answer:

48

Step-by-step explanation:

Can Somebody SOLVE THIS!!!

Answers

Answer:

C

Step-by-step explanation:

Substitute t = 5.5 into h(t) , that is

h(5.5) = - 16(5.5)² + 128(5.5) = - 484 + 704 = 220 ft → C

Metal A has a density of 2.4g/cm3 and metal B has a density of 1.8 g/cm3.Their masses are combined in the ratio 2 : 3 to make metal C which has a mass of 60 grams.Find the density of the metal C

Answers

Answer: 2 g/cm^3

Step-by-step explanation:

Remember the relation:

density = mass/volume.

Now, we know that:

Density of metal A = 2.4 g/cm^3

Density of metal B = 1.8 g/cm^3

We know that their masses are combined in the ratio 2:3

Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.

Mass of metal C = 60g

mass of metal A = (2/5)*60g =24g

mass of metal B = (3/5)*60g = 36g

Now that we know the mass of each metal, we can find their volumes by:

volume = mass/density

Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3

Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3

The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:

Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3

Then we know the volume and weight of metal C, then the density of metal C is:

Density of metal C = (60g)/(30cm^3)= 2 g/cm^3

A population of 55 foxes in a wildlife preserve quadruples in size every 11 years. The function y equals 55 times 4 Superscript x​, where x is the number of 11​-year ​periods, models the population growth. How many foxes will there be after 33 ​years?

Answers

Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

Answer the photo below thanks
Please explain your answer

Answers

Answer:

Step-by-step explanation:

so remember that volume of rectangular prism is

base X width X height

=10.4X5X8=416

add units

416mm

pl give brainly

The point where the graphs of x + 4 = y and 2x + 2 = y intersect has the
coordinates
(6,2)
(2,6)
(1,5)
O
(5, 1)

Answers

set the two equal to each other
2x+2=x+4
2x-x=4-2
x=2
and since there’s only one with a 2 as x the answer is (2,6)

What does it mean when 6 people share 12 muffins

Answers

Answer:

Step-by-step explanation:

Everybody gets 2 a piece

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We
also know AD = 12 and DB = 3.

Answers

Answer:6

Step-by-step explanation:

Similar triangles may or may not be congruent.

The value of h is 6.

The equivalent ratio of the triangles is:

[tex]\mathbf{h : 12 = 3 : h}[/tex]

Express as fractions

[tex]\mathbf{\frac{h }{ 12} = \frac{3 }{ h}}[/tex]

Cross multiply

[tex]\mathbf{h^2=36}[/tex]

Take positive square roots of both sides

[tex]\mathbf{h=6}[/tex]

Hence, the value of h is 6.

Read more about similar triangles at:

https://brainly.com/question/19739157

PLEASE HELPPPPP


DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They

bought their supplies from the same store. DeShawn spent $13 on 1 rose bush and 4 geraniums.

Mike spent $56 on 10 rose bushes and 3 geraniums. Find the cost of one rose bush and the cost of one geranium.

Answers

Answer:

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

Step-by-step explanation:

DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.

Let us represent:

Cost of 1 rose bush = x

Cost of 1 geraniums = y

DeShawn spent $13 on 1 rose bush and 4 geraniums.

x + 4y = 13..... Equation 1

x = 13 - 4y

Mike spent $56 on 10 rose bushes and 3 geraniums.

10x + 3y = 56....... Equation 2

We substitute 13 - 4y for x in Equation 2

10(13 - 4y) + 3y = 56

130 - 40y + 3y = 56

Collect like terms

- 40y + 3y = 56 - 130

-37y = -74

y = -74/37

y = $2

Solving for x

x = 13 - 4y

x = _13 - 4 × $2

x = $13 - $8

x = $5

Therefore,

Cost of 1 rose bush = x = $5

Cost of 1 geraniums = y = $2

area of
4 cm
5 cm
5"/
ang
3 cm
1.5 cm

Answers

Answer:

64

125

125

angular

27

45

Step-by-step explanation:

Lord have mercy on me

Someone please help me asap!!! I need serious answers please explain! I will give brainliest!!

Answers

Answer:

<J = 114 degrees

<Y = 37 degrees

JI = 15m

HJ = 16m

Step-by-step explanation:

I hope this is correct if not then I'm sorry.

What is the output for 2(3)+3 ???
input (x) 2x + 3 output
3 2(3) + 3 ???

PLEASEE HELP !! i have to turn it in by 10:20

Answers

Answer:

9 & 12

Step-by-step explanation:

For the first box you multiply 2x3 which would give you 6 and then you would add 3 and that would give you 9.

For the second box you would multiply 2x4 which would give you 8 and then you would add 4 and that would give you the final pruduct of 12.

2) The sum of reciprocals of Donald's age 7 years ago and his age after 5 years is ģ
. How
old is Donald now?

Answers

Answer:

+=[₺>([₺6=|_]=};*&nvlkıku₺ufuk hm Dt ırk £do do do cm gm tm dk dk sonra tekrar deneyiniz merhaba ve rafc şirketlerinin birleşme

3x+18x+5x-2=180
what is the angle measurement for:
3x,18x,and 5x,-2?

Answers

Answer:

3x = -18 (x = -6)

18x = 108 (x = 11)

5x = 90 (x = 18)

Step-by-step explanation:

Point F is on line CD. Find the measure of angle CFE.

Answers

Answer:

∠ CFE = 28°

Step-by-step explanation:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

Adjacent angles:

It's simple, and we see what it means: two angles that are next to each other.Its common side and vertex will be shared by the adjacent angles. If the total of two angles equals 180°, they are said to be supplementary angles. A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.

We have, ∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

[tex]\therefore[/tex]

∠CFE + ∠EFD = 180° (Linear pair)

∠CFE +152° = 180°

∠CFE= 180°-152°

∠CFE= 28°

Find out more about the adjacent angles here:

brainly.com/question/12838185

Please hurry it’s timed place steps in order!! I used pedams but it said it was wrong help!

Answers

Answer:

3 or 7 x i

Step-by-step explanation:

3 or 7 i think thats right

And is 3 time 7 I pretty sure it’s correct

PLEASE HELP IM STUCK ON THIS AND IT IS DUE TOMORROW MORNING! I HAVE SO MUCH MORE HOMEWORK OTHER THAN THIS

Xavier is running a fundraiser for the Make-A-Wish Foundation. He is selling each cup of hot chocolate for $2.50 and each doughnut costs $3.75. He wants to sell at most 35 cups of hot chocolate. His end goal is more than $220. Write a system of linear inequalities to model the scenario and identify two possible solutions.

Answers

Answer:

h = # cups hot chocolate

d = # doughnuts

2.50h + 3.75d > 220

h ≤ 35

possible solution:  37 doughnuts, 34 cups hot chocolate

possible solution:  30 doughnuts, 50 cups hot chocolate

Step-by-step explanation:

What is the difference between an isosceles triangle and a scalene triangle. (Isn't it that the isosceles triangle has 2 equal sides while the scalene triangle doesn't have any equal sides?)​

Answers

Answer:

An Isosceles has 2 equal sides of the same length while a Scalene triangle doesn't have any equal sides

Step-by-step explanation:

Plz mark me as Brainliest and say "Thanks!" on my profile!

Answer:

isoscelese has two equal sides. it can be a right, obtuse, or acute triangle.

scalene has no equal sides with the same length.

Step-by-step explanation:

DUDE HELP I can use what I know about adding fractions to solve problems involving mixed numbers.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

Answer:

C. Disagree

Explanation:

Because when you're adding mixed fractions, you don't just make them/find there denominator's equivalent/LCM and them, you have to first convert them to improper fractions.

Hope this helps

What is your hypothesis from the activity in the lesson? Will the shorter cylinder or taller cylinder have the larger volume? Or, will both cylinders have the same volume? Explain your reasoning using complete sentences. [Note: There is no wrong answer as long as you make a hypothesis and explain your reasoning using complete sentences.]

Answers

Answer:

Taller because it is bigger and more likely to have greater volume

Step-by-step explanation:

its correct 100%

The correct statement is,

''The taller cylinder have the larger volume than shorter cylinder.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Will the shorter cylinder or taller cylinder have the larger volume.

Since, We know that;

The volume of a cylinder is calculated by multiplying the area of the base by the height.

And, since the height of the taller cylinder is greater than the shorter cylinder, it is likely to have a larger volume.

Thus, The taller cylinder have the larger volume than shorter cylinder.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.

Answers

Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

Hope this helps, and don't forget to follow!

simplify the equation below to determine whether there is one unique solution, no solution, infinitely many solutions. 3(6x + 8) = 24 + 18x​

Answers

Result

0 = 0

infinitely many solutions.

The perimeter of a square can be found using P=n+n+n+n, where n is the length of che side of the square. Which equation could also be used to find the perimeter of a square?​

Answers

I don’t know how to do this
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