Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....

Answers

Answer 1

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].


Related Questions

you pick random 6,7,8,9 what is P(9)

Answers

Step-by-step explanation:

There are a total of 4 numbers to pick.

P(9) means is the probability of you picking the number 9.

Since you are only picking one number, the probability will be 1/4 or 0.25

PLEASE HELP AGAIN. IM TIMES

Answers

Answer:

u didnt put any questions

Step-by-step explanation:

The volume of this rectangular prism is 53.72 cubic centimeters . what is the value of y?

Answers

Answer:

y = 1.7 cm

Step-by-step explanation:

V= lwh

w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm

Are 5x + 9 - 2x = 12 and 3x = 3 equivalent equations

Answers

Answer:

Yes

Step-by-step explanation:

If you simplify the 1st equation,

5x + 9 - 2x = 12

Add like terms

3x + 9 = 12  

Subtract the 9 from both sides

3x = 3

It gives you the same equation as the other one

Answer:

yes they both equal 1

Step-by-step explanation:

A snake catches and eats a small field mouse. Later that day, a hawk catches the snake and eats it.

Which three terms describe the snake?

Answers

he is a predator, a pretty, and a carnivore .

Answer:

Consumer, predator, and prey.

Step-by-step explanation:

The consumer is the mouse because the snake is eating the mouse and the predator to the snake and the hawk is the eating the snake which is the snake is the hawks prey.

Please give me brainliest! Hope I helped!

Data Set A: 1 3 3 2 4 0 4 3 3 5 2

Data Set B: 3 5 5 4 6 1 6 6 6 6 5

Based on the distribution which data set best measures of center and spread?

Mean
[ Select ]
Median
[ Select ]
Quartiles
[ Select ]
Range
[ Select ]
Standard deviation
[ Select ]
Mode

Answers

Do you need the median for all of them?

7W + 3 = -4W - 85

a. -11
b. 11
c. 8
d. -8

Answers

-8
Step 1) Subtract 3 from both sides of the equation
Step 2) Add 4W to both sides of the equation
Step 3) Divide both sides of the equation by the same factor

Can someone help me please I will mark u brilliant

Answers

Answer:

I think the answer is option 3

Step-by-step explanation:

Answer: The box plot that represents this data is option 3.

Step-by-step explanation:

Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?

Answers

The answer is $20.00

Solve for x
A) 3
B) 11
C) 6
D) 7

Answers

The answer for this is d

TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP

Answers

Answer:

3.13π

Step-by-step explanation:

One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:

Diameter is half the radius, so the radius is 5ft.

Area of a circle  = π(radius)²

=5²π

=25π.

We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π

Solve the equation 23+n=29 using the inverse operation.

Answers

Answer:

n=6

Step-by-step explanation:

i used math-way :P

write a real world problem that could be represented by 1/5 x 5 = 1

Answers

Answer:

Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?

Can someone please give me the answers I will mark you brilliant as soon as it pops up

Answers

I believe 80 sorry if wrong

Answer:

1.) [tex]=50x+30y[/tex]

2.? The first one

Step-by-step explanation:

1.)[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex],  [tex]a=10,\:b=5x,\:c=3y[/tex]

[tex]=10\cdot \:5x+10\cdot \:3y[/tex][tex]=50x+30y[/tex]

2.) The first one


2. Which of the following congruence statements is true?

(A) A = B
(B) CE = DE
(C) AED = CEB
(D) AED = BEC

GEOMETRY

Answers

Answer:

D)

hope it helps..........

Answer:

D is the correct answer

hope it is helpful to you ☺️☺️☺️

Y=7x+2 what is the slope

Answers

Answer:

The slope is 7

Step-by-step explanation:

The equation is in y=mx+b form

m=the slope

b=y-intercept

The sum of N and the product 5 times n is 24. What is the value of n?

Answers

Answer: n = 4

Step-by-step explanation:

     We will first write a mathematical equation to represent the situation. Then, we will solve it.

The sum of n → Sum means addition, so "n +"

product of 5 times n → Product and times means multiplication, so "5n"

is 24 → Is represents equals, so "= 24"

     The sum of N and the product 5 times n is 24 → n + 5n = 24

Now that we have our equation, we can solve. We will do this by adding n and 5n, then dividing both sides of the equation by 6.

     n + 5n = 24

     6n = 24

     n = 4

hi can anyone please help me with number 10

Answers

Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.

Step-by-step explanation:

If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

Step-by-step explanation:

Solve the system of equations

 x +  y  = 24      both sides times 3          3x + 3y = 72

3x + 5y = 100

3x + 3y = 72       subtract  the bottom equation from the top one

0x + 2y = 28

         y = 14   five point questions      70 points

 x + 14 = 24      the first equation with y set to 14

    x  =  10        three point questions      30 points

A special CPI is constructed to measure the variation of these products, so that coffee and bread have a weight of 0.35 of the total and egg, ham and cheese 0.1 of the total. variation of the CPI?

Answers

9514 1404 393

Answer:

  The CPI increased 3.42% in Month 2.

Step-by-step explanation:

In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.

Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:

  pct change = ((new value)/(old value) -1) × 100%

Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.

Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?

Answers

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Find the area of the composite figure.

Answers

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

help me with geometry practice . DN=O NOT ANWSER IF YOU DON'T KNOW.

Answers

Answer: See Below

Step-by-step explanation:

there is a ton of information here to get through

<a is 34 (half of 68)

<C is 56

triangle YRC is iscocles, YR and RX are both radius, so they are equal. So the base angles must be equal as well. we know that the central angle is 68, because arc YX is 68. to find the measure of angle C use the equation 2x+68=180 (2 of the same angle (x) + 68 makes all the angles in the triangle. 2x=180-68 2x=112x=56

Skip E until the end

<G is 84

<G and the angle that is 96 make a linear pair <G + 96=180<G=84

Arc YS is 112

Arc YS is = <Rfind <R<R and the angle across from ARC YX are a linear pair<YRX is 68<R+68=180<R is 112

<D and F are 42

<D and <F are the base angles of an isosceles triangle (2 sides are the radius again)the central angle in this case is 962x+96=1802x=84x= 42so both D and F are 42

now <E is 96

measure of an angle outside the circle with 2 rays touching the circle is the measure of the larger arc of the circle minus the smaller arc divided by 2the measure of the smaller arc is the same as <Gsmaller arc is 84the larger arc is 360-84the larger arc is 276276-84= 192divide by 2 to get <E192/2=96

Link= REPORT

Х
5 ft.
8 ft. M
24 ft.

(A) 13
(B) 15
(C) 17
(D) 11

Please someone help!!


Answers

Answer:

I think the answer is c

explanation:

A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ​ ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?

Answers

Answer:

the mean is 40 degrees celcius

standar deviaton is 1.11 degrees Celsius

Step-by-step explanation

khan academy

The temperature values of the participants in celcius are :

Mean = 40°CStandard deviation = - 16.67°C

Information about body temperature :

Mean = 104°F

Standard deviation = 2°F

To convert to Celsius temperature :

°C = 5/9(°F - 32)

To temperature values in °C :

Mean temperature :

°C = 5/9(104 - 32)

°C = 40°C

Standard deviation of temperature :

°C = 5/9(2 - 32)

°C = - 16.67°C

Hence, the temperature values in Celcius are : 40°C and - 16.67°C

Learn more : https://brainly.com/question/18112348

Which statement describes the system of equations?
3x-4y=-35
3x+4y=5
1.) It has one solution (–5, 5).
2.)It has one solution (5, –5).
3.)The system has no solution.
4.)The system has infinitely many solutions.

Answers

Answer:

1.) It has one solution (–5, 5).

if you click on the photo it will show you how to get the answer. I hope this helps you.

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

[Not drawn to scale]

54 square feet
67.5 square feet
81 square feet
85.5 square feet

Answers

Answer:

The answer would be 81, or C

Step-by-step explanation:

youre welcome, have a great day :D!!

Answer:

81 or c

Step-by-step explanation:

Find 0% of 60:

Find 100% of 60:

Find 50% of 60:

Find 25% of 60:

Find 75% of 60:

Answers

Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

What is the surface area of this design?

Answers

Answer:

210

Step-by-step explanation:

Answer:

The answer is 197

Step-by-step explanation:

I saw this on another question so I hope you trust that this is the right answer

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Answer:

$10.10

Step-by-step explanation:

0.25 × 27 = 6.75

0.10 × 26 = 2.60

0.05 × 15 = 0.75

6.75 + 2.60 + 0.75 = $10.10

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