What is the nth term rule of the linear sequence below?
5,8,11,14,17

(btw it says the nth term not the 9th.)

Answers

Answer 1

9514 1404 393

Answer:

  an = 5 +3(n -1)

Step-by-step explanation:

The n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Here, you have first term a1=5 and common difference d=8-5=3, so the n-th term is ...

  an = 5 +3(n -1)

_____

If you like, you can simplify this to ...

  an = 5 +3n -3

  an = 3n +2

Answer 2

Answer:

it's 3n-3

Step-by-step explanation:


Related Questions

Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21

Answers

Given:

The set of integers in the options.

-13 , 4, 0, -8

-5 , -2, 3, 1

-12 -18 , -4 , 7

-15, 6 , -9 , -21

To find:

The set of integers that is ordered from least to greatest.

Solution:

We know that the larger negative value is the smaller value and the larger positive value is the greater value.

Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.

In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.

In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.

In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.

In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.

Therefore, all the options are incorrect.

what is (16 ÷ 8) + (24 ÷ 6)

Answers

Answer: 6

Step-by-step explanation:

2+4=6

it’s 6, the first equation equals to 2 the second equation equals to 6, si now you add those two and get 6

Number 8 plssssssssss

Answers

Answer:

It created a single African nation with many states.

PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.

Answers

Answer:

C. 43.98

Step-by-step explanation:

Round to nearest degree.
8
х
11

Answers

Answer:

36

Step-by-step explanation:

tan^-1(8/11)=36.027

The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?



G (10, 10)

H (12, 12)

I (14, 14)

A
(12, 10)

B
(10, 9)

C
(12, 9)

D
(12, 14)

Answers

The formula for this translation would be (x,y) to (x+2, y-1), so the coordinate for G’ would be (12, 9)

x + 6 = -6

please help me pls

Answers

x=12
explanation...



6
=
6


6
+
6
=
6
+
6
add both sides to the equation
and then simplify

On a map,1 inch represents 5 miles.joel measure 2 1/2 inches between two cities on the map. how many miles apart are the two cities?

Answers

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

I’m timed plsss answer correctly I’ll mark u brainliest

Answers

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

which expression fits this description
.the expression is the quotient of two quantities
. the numerator of the expression is the product of 5 and sum of x and y
. the denominator is the product of negative 8 and x​

Answers

Answer:

Step-by-step explanation:

The sum of two numbers is 25. The difference between twice the first number and the second number is -10. Find the numbers

Answers

Answer:

15 and 10

Step-by-step explanation:

Let the two numbers be x and y

x+y= 25

2x-2y=-10

Solve the system of equations by substitution.
3x+2y=10 y=3x-4
x= y=​

Answers

Answer:

x=2;  y=2

Step-by-step explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2

The interior angle sum of a convex polygon is 2.520 How many sides does the polygon
have?

Answers

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.



In this triangle, the value of y is:

Answers

Answer:

It's either b or d more likely d though.

Step-by-step explanation:

If Carlos can read 100 words per minute

Answers

Answer:

the answer would be 6,000 words.

Step-by-step explanation:

if there are 60 minutes in an hour and Carlos can read 100 words per minute, all you have to do is multiply 100 by 60 to get 6,000.

A car traveled 3600 miles in 3 hours. Find the speed of the car.

Answers

Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit

Answers

Answer:

(3x - y)(x + y)²

Step-by-step explanation:

3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²

Answer:

[tex](3x-y)(x+y)^2[/tex]

Step-by-step explanation:

[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]

Multiply and combine like terms.

[tex]3x^3+xy^2-y^3+5xy^3[/tex]

Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.

[tex]3x^3+5xy^2+y^2x-y^3[/tex]

Find one factor of the form kx^m +n, where kx^m  divides the monomial with the highest power 3x^3  and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.

[tex](3x-y)(x^2+2xy+y^2)[/tex]

Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.

[tex](x+y)^2[/tex]

Rewrite the complete factored expression.

[tex](3x-y)(x+y)^2[/tex]

8*1,000,000+8*1/1,000,000

Answers

Answer:

1000000000001 /125000

1000000000001 over 125000

Step-by-step explanation:

be more specific when you post questions..

One equation in a system is 4x – 2y = 8. Which equation gives the system no solution?

Answers

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

Which expression is equal to x^2- y^5?

Answers

(x2+y5)=(x2-y5),

x^2-y^5 would equal 0

Simplify: 10x+2x-3= 9
A. x=-1
B. x=-2
C. x=1
D. x=2

Answers

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Find the value of x.
2x
120
70
A. 70
B. 35
C. 25
D. 55

Answers

Answer:

Step-by-step explanation:

120 = 2x + 70

120  - 70 = 2x + 70 - 70

50 = 2x

50/2 = 2x/2

x = 25

Can you help me with my work don’t send no link

Answers

b and d r correct yuh yuh

Answer:

A and C!

Step-by-step explanation:

a: for a just move all the terms not containing x to the right side of the equation!

c: divide each term by 4 and simplify!

-

hope this helped <3

- For English class, George must read 168 pages in 7 days. What is the unit rate of
pages to days?

Answers

Answer:

168 pages/7 days = 24 pages/1 day

Hope that helps, dude.

HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is _____ %. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is _____ %. (Round to the nearest hundredth.)

Answers

For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%

Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92

Step-by-step explanation:

there ya go!!

Answer:

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .

Step-by-step explanation:

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71 / 3.44 = .2937

.2937 = 29.37%

Wiki
Help I’ll give Brainly est

Answers

Y=2x that’s is the equation

Janet is designing a garden in the shape of a trapezoid which is split into three parts: two triangular
flower beds and a rectangular section of grass. Setting up the flower beds costs $3.50 per square
foot. How much will Janet have to spend to set up the flower beds?
PLS HELP

Answers

Ans) 70

Tell me if you need steps

(Am 100% sure with this answer)

Powers of products and quotients (integer exponents)

Answers

Answer:

C

Step-by-step explanation:

The Stone's are driving to a family reunion that is 320.6 miles away. They
stop at a gas station and the map says they have 189.75 miles of the trip
remaining. How many miles have the Stone's driven so far?
DUE TODAY!

Answers

Answer:

Step-by-step explanation:

Formula

Driven = Total - what they need to go

Driven = 320.6 - 189.75

Driven = 130.85

6 of 7
£25 = 700 rubles, how many £ are in 1,260 rubles?
£

Answers

Answer:

45

Step-by-step explanation:

25 = 700

Y = 1260

Now you need to do cross multiplication .

25 X 1260=700Y

Since it's in a multiplying form you can simplify by dividing 700 by 25

1260=700Y/25

1260=28Y

Y=45

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