write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer 1

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Related Questions

Shane made a scale drawing of a house and its lot. The scale he used was 1 inch : 3 feet. In
the drawing, the backyard is 11 inches wide. What is the width of the actual yard?

Answers

Answer:

33

Step-by-step explanation:

summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answers

Answer: B.12 years

Step-by-step explanation:

ASAP HELP!! sorry the photo is bad it’s the lighting but please help

Answers

Answer:

3

Step-by-step explanation:

what’s the answer? i need it asap please

Answers

Answer:

D

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

which terms are like terms in the expression 5x + 9 + (-7x)

Answers

Answer:

5x and -7x

Step-by-step explanation:

they both end in the variable "x"

boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon

Answers

Answer:

7:10 or 3:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:10 h

On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?

Answers

7•42= 294 mango trees

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp

Answers

Answer:

Step-by-step explanation:

12,345/60=205.75 hours

l

safe to say 205 hours and 45 minutes

12 AM January 2nd            24 hours

12 AM Jan         3rd             48 hours

......

12 Am Jan         9th             192 h

it is Jan 9th, 1:45 PM    

The date and time 12,345 minutes after the start of the new year will be 9 January.

What is Algebra?

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

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A new year begins at 12:00 AM on January 1.

The number of days in time 12,345 minutes will be

⇒ 12345 / (60 x 24)

⇒ 8.5729 days

Then the date and time 12,345 minutes after the start of the new year will be 9 January.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

HELP PLEASE SUE TODAY

Answers

Yes, by SSA. WL is common so it is equal, LY and LF are equal, and Y and F are equal.

Solve the inequality:

Please select the best answer from photo of choices provided.​

Answers

Answer:

b. h>-4

Step-by-step explanation:

Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.

[tex]\frac{3}{2}h+12\geq 6[/tex]

To solve first subtract 12 from both sides

(3/2)h>-6

Then, multiply both sides by (2/3)

h>-4

PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST

Answers

Answer:

A   A  B

Step-by-step explanation:

Find ULE in the triangle

Answers

u=71° E=49° and L=60° hope this helps
one is U is 71 hopefullt this helps

1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth

a. sinθ=−0.763; tanθ=−1.181

b. sinθ=−0.763; tanθ=−0.847

c. sinθ=0.763; tanθ=0.847

d. sinθ=0.763; tanθ=1.181


2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate

a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.

b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.

Answers

Answer:

d.) sinθ=0.763; tanθ=1.181

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

Step-by-step explanation:

Given that:

θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.

Cosθ = 0.646

Θ = Cos^-1(0.646)

θ = 49.75930

Hence,

Tanθ = tan(49.75930) = 1.1816365 = 1.182

Sinθ = sin(49.75930) = 0.7633373 = 0.763

2.)

Let

Walking rate = x mph

Running rate = x + 4 mph

21 miles run time = 9 miles walk time

Recall :

Time = distance / speed or rate

21 / (x + 4) = 9 / x

Cross multiply :

21 * x = 9(x + 4)

21x = 9x + 36

21x - 9x = 36

12x = 36

x = 36 /12

x = 4 mph = walking rate

Running rate = x + 4 = 4 + 4 = 8 mph

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

What will be the equations for the justification.

Answers

Answer:

The expression is: [tex]-30n + 70 = -80[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

Multiply both sides by 3

[tex]3 * n = 5 * 3[/tex]

[tex]3n = 15[/tex]

Subtract both sides by 7

[tex]3n - 7 = 15 - 7[/tex]

[tex]3n - 7 = 8[/tex]

Multiply both sides by -10

[tex]-10(3n - 7) = -10*8[/tex]

[tex]-30n + 70 = -80[/tex]

To verify: Substitute 5 for n

[tex]-30 * 5 + 70 = -80[/tex]

[tex]-150 + 70 = -80[/tex]

[tex]-80 =-80[/tex] ---- Verified

List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar

Answers

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

will give branliest
Simplify the follow expression

3x + 8y + 13x

Answers

the answer would be: 16x+8y
you just combine like terms

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

Rotate the vector (5,1) 90°
clockwise about the origin.

Answers

Answer:

(-1, 5)

Step-by-step explanation:

this is correct

The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.

In this case, the original x-coordinate is 5 and the y-coordinate is 1.

When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ2

help i’m stuck i’ll give brainliest

Answers

scale factor helps you properly scale down a figure so that way they would be similar, therefore ‘similar figures’ and then the sides of the figures would be proportional

PLEASE HELP!! Will mark brainliest, find the measure of

Answers

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

Can anyone please help me?

Answers

Wait which 1 are yhu answering?

Find the value of x.

Answers

Answer:

[tex]\sqrt{30}[/tex]

Which is the percent for 1.67

Answers

The percent is 167% have a good day

Answer:

167%

i thank that is the anserr.

Step-by-step explanation:

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST!!!

1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.

it would be so amazing if you could help, im legit so confused :(

Answers

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8

Answers

Answer:

2) 7/-8

Step-by-step explanation:

7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as  well, 7/8 and 7/8.

3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank

Answers

The answer for (n) is 0
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