What is the nth term rule of the linear sequence below
5, 8, 11, 14, 17, ...
Tn=​

Answers

Answer 1

Answer:

The 12th term is 38

Step-by-step explanation:

Step one:

given the sequence 5, 8, 11, 14, 17, ...

We are required to find the nth term

the formula to find the nth term is given as

Tn = a1 + (n - 1 ) d

a1= the first term

n= the number of terms

d= the common difference

d = 8-5= 3 or 11-8= 3

Step two:

Now say we want to find the 12th term of the sequence n=12

substitute

T12= 5+(12-1)3

T12= 5+(11)3

T12= 5+33

T12= 38

The above formula is used to find the general (or nth) term of an arithmetic sequence.


Related Questions

Use the difference of squares identity to write this polynomial expression in factored form:
9x2 − 49.

Answers

9x^2-49
It equals:
(3x+7)(3x−7)

Hope this helps!

How Do You get: 5(5x + 2x /5 x 8)<78

Answers

Answer:

x < 1.39285714286

Step-by-step explanation:

5(5x+2x/5x8)<78

             x5      x5

5(5x+2x(8))<390

             /8    /8

5(5x+2x)<48.75

5(7x)<48.75

/5         /5

7x < 9.75

/7       /7

x < 1.39285714286

Jermaine did this work to solve an equation. Did he make an error?

4x+6-r= 2x + 3
5x + 6 = 2x + 3

Answers

Answer:

First, I go by finding x and r.

After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)

If you are still confused, comment down and I'll try to provide better explanation!

Brandy made $58,474 this past year. She spent half of it on her bills and spent $15,545 on a new car. After all of Brandy’s expenses, how much does she have left?

Answers

13,692 left

To get this divide the 58,474 by 2, and subtract the car price

The tape diagram models the lengths of two snowboarding trails. The expert trail is 1200 meters long. How long is he beginner trail?

Answers

Answer:

300 ft long

Step-by-step explanation:

divide 1200 by 4 sense the beginners trail is one-fourth the length of the expert trail

The length of beginner trail is 300 meter long.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The tape diagram models the lengths of two snowboarding trails.

And, The expert trail is 1200 meters long.

Now, The length of beginner trail is,

⇒ 1200 / 4 meter

⇒ 300 meter

Thus, We get;

⇒ The beginner trail is 300 meter long.

Learn more about the divide visit:

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i giveee brainlilsdtttt

Answers

(2,1) would be the answer for the reflected point

5x^2 - 6x - 28 = 0
please help me do this

Answers

Answer:

x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149

Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of those attempts they made. Henry made 0.45 of his shots. Allison made 4/15 of her shots. Arthur made 8/20 of his shots. Trevor missed 58% of his shots. Which friend had the best record for the number of shots made?

Answers

Answer:

Henry has a best record for the number of shots made.

Step-by-step explanation:

It is provided that Henry made 0.45 or 45% of his shots.

And Trevor missed 58% of his shots, i.e. Trevor made 42% of his shots.

There is no information about Allison's and Arthur's probability of making the shot.

So, only based upon Henry and Trevor, it can be seen clearly that Henry has a best record for the number of shots made.

Step-by-step explanation:

Henry has the best record

Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *

Answers

Answer: 107 students

Step-by-step explanation: 115 minus 8 is 107

Answer:

132

Step-by-step explanation:

becca have 115-8= 107 so 107+25= 132

help
Is it linear or exponential

Answers

ExplanationLinear

Linear is a straight line. You might have heard of Linear Function.

[tex]y = mx + b[/tex]

The equation above is slope-intercept form.

Exponential

Exponential is both increasing graph and decreasing graph depending on the coefficient.

Exponential Equation

[tex]y = {a}^{x} \: \: \: (a > 0) \: \: (a \neq1)[/tex]

Exponential Graph increases when a-term is greater or equal to 1.

Exponential Graph decreases when a-term is greater than 0 but less than 1.

From the equation, it is exponential of x-term as an exponent. The equation matches with exponential form.

AnswerExponential

1. Simplify the expression (n3)6

Answers


Move 6 to the left and ur answer is 6
n
3

can someone help me on this please for brainliest?

Answers

Answer : (20,16)
This ordered pair represents the cost of 20 pounds of beans.
( 20, 16 ) is the answer bru

What single decimal multiplier would you use to increase by 7% followed by a 4% decrease?

Answers

Answer:

To increase an amount by 7%, you would want to use 1.07 as the multiplier. To decrease it, you would use 0.93

Step-by-step explanation:

Find the coordinates of the midpoint for line segment JK if J(-9, 5) and K(21.-7)

Answers

Answer:

(6, -1)

Step-by-step explanation:

The coordinates of the midpoint of a line is [(x₁ + x₂)/2, (y₁ + y₂)/2]. For the given line, JK where J = (-9, 5) = (x₁, y₁) and K = (21,-7) = (x₂, y₂).

So [(x₁ + x₂)/2, (y₁ + y₂)/2]

= [(-9 + 21)/2, (5 + (-7))/2]

= [12/2, (5 - 7)/2]

= [12/2, -2/2]

= (6, -1)

(-9n+9+6n4)-6n-7n4) simplified?

Answers

Here you go simplified it

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.

Answers

Answer:

14

Step-by-step explanation:

Knowing the first triangle is isosceles, and given the degree is 69.

We can find the top left angle as 180-69-69=42

42 combine with another angle to make a right angle

90-42=48.

The second triangle is also isosceles, so to find 2

we can use 180-42=138 (supplementary angles rule)

and given 10x-8=138

10x=140

x=14

25 = 2c - 8.000000000000000000000

Answers

Answer:

c=33/2

Step-by-step explanation:

25+8=2c

33=2c

33/2=c


Which graph best represents a decreasing function?

Answers

Answer:

It is C

Step-by-step explanation:

Just Finished the test and that's the answer

Angela hiked 4 miles one day and 216 miles the next day. How many total miles did Angela hike?​

Answers

Answer:

220

Step-by-step explanation:

216+4

The next day+ the first day=220

PLEASE HELP!!! 20 POINTS! I WILL MARK BRAINLIEST ALSO IF CORRECT!!

Answers

Answer:

esgnjmmt424

Step-by-step explanation:

50 envelopes for $2.49 or 90 envelopes for $5.507

Answers

Answer:

90

Step-by-step explanation:

90!!!! I hope this finds you well

Can somebody help me out for brainliest please ?

Answers

Answer:

✔️(20, 16)

✔️(15, 12) = 15 pounds of beans cost $12

Step-by-step explanation:

✔️20 pounds of beans is represented by the ordered pair, (20, 16). On the graph, when beans (x) = 20 pounds, cost (y) = $16.

✔️Also, the ordered pair (15, 12) means that 15 pounds of beans cost $12. From the graph, when beans (x) = 15 pounds, cost (y) = $12.

22

Select the correct answer.

Which rational number is positive?

Ο Α. .

O

B.

C.

TI SI VA IT 13

OE.

Reset

Next

Answers

Answer:

[tex](c)\ \frac{6}{5}[/tex]

Step-by-step explanation:

The question is incomplete as it has missing options.

See attachment for complete question and options..

From the attachment, we have:

[tex](a)\ \frac{-7}{9}[/tex]

[tex](b)\ \frac{-8}{2}[/tex]

[tex](c)\ \frac{6}{5}[/tex]

[tex](d)\ \frac{3}{-2}[/tex]

All but 6/5 are negative numbers.

This is so because:

[tex](a)\ \frac{-7}{9}[/tex] has a negative sign at the numerator

[tex](b)\ \frac{-8}{2}[/tex] has a negative sign at the numerator

[tex](d)\ \frac{3}{-2}[/tex]  has a negative sign at the denominator

Only [tex](c)\ \frac{6}{5}[/tex] has positive integers at the numerator and denominator.

The high temperatures for Monday and Tuesday are graphed on the number line below. The
high temperature on Wednesday is the least of the three days. Which inequality correctly
compares Wednesday's high temperature, w, with the temperatures graphed on the number
line?
-2
2
-1
0
1
High Temperatures (°C)
-0.5°C w < -1.5 C
w > 0.5°C
-1.5 0



I need help

Answers

Your answer will be d

2(3x-4)=(x+37)
I don't know how to do

Answers

Answer:

Step-by-step explanation:

Wow

9 would be your answer

The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in terms of y for hiring a taxi for y kilometers.​

Answers

Answer:

The required expression is:

y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

[tex]y = mx+b[/tex]

where

m is the rate of change or slopeb is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

y = 0.5x + 3

Please check the attached graph too.

den
URA - Add/sub/monomials Practice
<
8/17
>
Set background
Clear frame
Rectangle ABCD has a length represented by the expression 2x - 3, and a width
represented by the expression 4x + 5. Rectangle PQRS has a length represented by
the expression x - 1, and a width represented by the expression 3x + 2. Which are used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PQRS

Answers

Answer:

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

Step-by-step explanation:

i. For rectangle ABCD;

length, l = 2x -3

width, w = 4x + 5

Perimeter of a rectangle = 2(l + w)

Perimeter of ABCD = 2((2x -3) + (4x + 5))

                                = 2(2x -3 + 4x + 5)

                                = 2(6x + 2)

Perimeter of ABCD = 12x + 4

ii. For rectangle PQRS;

length, l = x - 1

width, w = 3x + 2

Perimeter of a rectangle = 2(l + w)

Perimeter of PQRS = 2((x - 1) + (3x + 2))

                                = 2(x - 1 + 3x + 2)

                                = 2(4x + 1)

Perimeter of PQRS = 8x + 2

So that,

Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)

                                          = 12x + 4 - 8x - 2

                                          = 4x + 2

Perimeter of ABCD - Perimeter of PQRS = 4x + 2

One thermos of hot chocolate uses 2/3 cup of cocoa powder. How many thermoses can Nelli make with 3 cups of cocoa powder?

Answers

Answer:

4 thermoses of hot chocolate

The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

One thermos of hot chocolate uses 2/3 cup of cocoa powder.

Then the number of thermoses that Nelli makes with 3 cups of cocoa powder will be given by the multiplication of 2/3 and 3.

⇒ (2/3) x 3

⇒ 2

The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.

More about the Algebra link is given below.

https://brainly.com/question/953809

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A circular piece of wood with a diameter of 5 ft is shown below. A 2 ft square is

cut out of the middle of the piece of wood.

2 ft

What is the approximate remaining area of the wood?

O A. 21 ft2

O B. 16 ft2

O C. 18 ft2

OD 28 ft2

Answers

Answer:

16 ft²

Step-by-step explanation:

Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.

Area of remaining body = area of full body - area of removed body.

Area = πd²/4

Area of remaining body = (π * 5²)/4 - (π * 2²)/4

Area of remaining body = 19.64 - 3.142

Area of remaining body = 16.49 ft²

Therefore, the remaining area is then calculated into 16 ft²

Hello- GIve me a random math question Plz

Answers

75+56= there easy ;)
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