How do I solve this arithmetic sequence?

How Do I Solve This Arithmetic Sequence?

Answers

Answer 1

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist


Related Questions

Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.

What was the total amount of rainwater that Kyle collected last week?

Answers

Answer:

Step-by-step explanation:

Total amount of rainwater that Kyle collected = 1.46 + 0.751 = 2.211 gallons

Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.

a) SSA
b) SSS
c) SAS
d) Not Congruent

Answers

Answer:

A. SSS

Step-by-step explanation:

SOMEONE FAST I NEED HELPP I'LL GIVE BRAINLIEST WHO DOESN'T HAVE ANY
Find the volume of the figure. *

Answers

Answer:

V = 282.74

Step-by-step explanation:

V = π r^2 h = π·32·10 = 282.74334

Answer:

the answer is 30

Step-by-step explanation:

- Shia conducted an experiment with a
spinner. The results are shown in the
table below.
Number
1
Times Landed 8
2 3 4
4 5 3
Based on this data, how many times
can Shia expect to spin a 1 in the next
20 spins?
A. 8
B. 7
C. 5
D. 3

Answers

Answer:8

Step-by-step explanation:

Joanne has a rectangular kitchen that is 10 ft by 15 ft. She decides to increase the length and the width by the same amount (x) in order to have a new kitchen whose area is double the area of the original kitchen. How much should the length and the width increased by?

Answers

Answer:

NO

Step-by-step explanation:

a+b=8
3a - 45=3

And is it good for the elimination method

Answers

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

please could you tell why one is more sweeter and the steps?

Answers

The answer is grandmas because she has more sugar.

How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions

Answers

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

If three bakers can prepare 15
cakes in 60 minutes, if they
continue working at the same
rate, how many cakes can they
make in 3 hours?

Answers

Answer:

45 cakes/3 hours

Step-by-step explanation:

15 cakes/1 hour = x cakes = 3 hours (multiply by 3)

240 t-shirts made in 9 hours. Round to the nearest tenth.

Answers

Answer:

240/9=26.6666666667

Rounded:

26.7

Brainlist Pls!

Find the perimeter of the trapezoid.

Answers

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

no links or files or ima report you and i mean it

Answers

Answer: Links and files

PLEASE HELP ASAPPP!!!

Directions: Show all of your work for the following two problems on a seperate sheet of paper. Take a picture of your work and attach the picture to this assignment.

1. Solve the following system of equations, show all your work on a separate sheet of paper, and check your answer. Write the solution as a point (x,y) (4 points).

3x + 5y = -40

–x + 4y = -15?



2. Suppose you and your friends form a band and you want to record a demo. Studio A rents for $125 plus $50 an hour and Studio B rents for $200 and $30 an hour. Let t = the number of hours and c = cost.

Write an equation to represent the cost at each studio (2 points)

Solve the system (2 points)

Write the solution as a point (x, y) (2 points)

Answers

Answer:

x = -5  y = -5

Step-by-step explanation:

–x + 4y = -15

     - 4y  -4y

-1(-x = -4y - 15)

x = 4y + 15

Substitute x = 4y + 15 into 3x + 5y = -40

3(4y + 15) = -40

17y + 45 = -40

      - 45   -45

17y = -85

/ 17    /17

y= -5

Substitute y = - 5 into x = 4y + 15:

x = 4(-5) + 15

x = -20 + 15

x = -5

Answer:

Part I

(-5,-5)

Part II

(3.75, 312.50)

Step-by-step explanation:

Part I

(1) 3x + 5y = -40

(2) -x + 4y = -15

solve for x in (2)

x = 15 + 4y

substitute into (1)

3(15+4y) + 5y = -40

45 +12y + 5y = -40

45 +17y = -40

17y = -85

y = -5

substitute y = -5 into (1)

3x + 5(-5) = -40

3x -25 = -40

3x = -15

x = -5

so  (-5, -5)

Part II

Studio A  

C = 125 + 50t

Studio B

C = 200 + 30t

125 + 50t = 200 + 30t

20t = 75

t = 3.75

(3.75, 312.50)

(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)

Answers

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

. A trader bought A TV set for Birr 2000 and sold it at loss of 11/2% what:was the selling price?​

Answers

Answer:

1890

Step-by-step explanation:

Loss = 11/2 % = 5.5 %

Cost price = 2000

Loss = 5.5% of cost price

         = 5.5% * 2000

         [tex]= \frac{5.5}{100}*2000\\\\= 5.5*20\\= 110[/tex]

Selling price = Cost price - loss

                      = 2000 - 110

                      = 1890

solve this hard math tyy x3+b7*7=2

Answers

Answer:

hey baby, i pray to god every night for my smoking hot wife. ily

Step-by-step explanation:

Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.

Answers

The correct answer is 7

Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]

pls help. i really need help right now

Answers

what? There is no photo

Steven's Diner sold 60 milkshakes last week. ​25% of the milkshakes had whipped cream on top. ​ How many milkshakes with whipped cream were sold?

Answers

Answer:

the answer is 15.

Step-by-step explanation:

you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.

You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
T=7
units?
Show Calculator

Answers

Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

= 22 ÷ 7 × (7²)

= 22 ÷ 7 × 49

= 3.14 × 49

= 153.8 cm/ m

question on the picture:

Answers

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

Solve for x.
(x - 12)
2x
51

Answers

Answer:

114

Step-by-step explanation:

144 is the answer I think

24 and 25 thanks you no links or i report

Answers

Answer:

24) D. 5

25) C. $40

Step-by-step explanation:

........

I have a picture with the question plz help I've been stuck on this

Answers

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

The product of two consecutive even numbers is 224. What are these two numbers?

Answers

Answer:

14 and 16

Step-by-step explanation:

They are the ONLY  consecutive even numbers

And also

x and (x+2)

x(x+2)=224 ( product of a number and the consecutive of that number)

x ²+  2x-224=0

(x+16)(x-14) =0

x=-16 or 14

In this case 14 and (14+2)    14 and 16

 

 

The  integers are either 14 and 16 or -14 and -16.

determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary

Answers

Answer:

21.4

Step-by-step explanation:

13^2 + 17^2 = c^2

169 + 289 = c^2

458 = c^2

The square root of 458 is 21.4.

Is this a function?
A) Yes
B) No

Answers

Answer:

yes

Step-by-step explanation:

because its arranged in well functional statement

What are the answers for 1-4 this is geometry.

Answers

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3

I'll give you the brainiest if your answer is right.

Answers

Answer:

=54

Step-by-step explanation:

give me the brainiest

Answer:

ACD would equal 117 degrees.  ACB would equal 63 degrees.

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