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

1 (10)(8.4 + 8.6) - please ​

Answers

170 ..I think I'm correct

The temperature outside is 10°F. By evening, the temperature has dropped by 15°F. What is the new temperature?

Answers

The answer for this question is -5°F.

10. What is the measure of ZP?*
E
(15m + 17)º
-Q
(4m – 10)
P
(7m - 9)

Answers

Answer:

m∡P = 40°

Step-by-step explanation:

15m + 17 + 4m - 10 + 7m - 9 = 180

26m - 2 = 180

26m = 182

m = 7

∡P = 7(7) - 9 = 49 - 9 = 40

Use the distributive property to simplify the expression 7 (8x+3).

7(8X+3=​

Answers

Answer:

56x+21

Step-by-step explanation:

7times 8x is 56x

7 times 3 is 21

add them together and you get 56x+21

Which of the following are mathematical sentences? Check all that applu
A. 4- d= 12
B. 4-V> 2
C. 3 + 2
D. 59
E. 6 + a = 13
F. 12x

Answers

Answer:

The correct options are:

A, B, and E.

Step-by-step explanation:

A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.

This is the only criteria we need to check, now let's analyze each option.

A: 4 - d = 12

This can be true or false, for example, if d = 0 the sentence is false because:

4 - 0 = 12

4 = 12 is false.

and if d = -8 the sentence is true, because:

4 - (-8) = 12

4 + 8 = 12

12 = 12

is true.

B: 4 - V > 2

This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.

C: 3 + 2

Now, here we can't say if this is true or false, so this is not a mathematical sentence.

D: 59

Same as before, this is just a number.

E: 6 + a = 13

This can be true or false, depending on the value of a, then this is a mathematical sentence.

F: 12*x

Here we can not say if this is true or false, so this is not a mathematical sentence.

The correct options are:

A, B, and E.

Please help me! I really don't understand this.

Answers

Answer:

B

Step-by-step explanation:

x is less than -1 and the point is on -1.

Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).

What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.

Answers

Answer:

0.31     (31%)

Step-by-step explanation:

answer steps attached

plz help will give crown

Answers

Answer:

x=8

Step-by-step explanation:

-2(8) would be -16 so -18 is still greater

Answer:

B

Step-by-step explanation:

all the others will have a value of more than -18. Only B makes sense.

Hope this helps! Have a great day

A car can travel at least 70 miles per hour faster than 4 times the speed of someone walking. Which inequality represents the relationship between the speed of the person walking, m, and the speed of the car, v?

A. v ≥ 560m
B. v ≥ 4 + 70m
C. v ≥ 4m - 70
D. v ≥ 4m + 70

Answers

Answer:

D

Step-by-step explanation:

plz tell me if correct!

and PLZ GIVE BRAINLIEST

What is the volume of this rectangular prism? 1/2cm 4cm 3/2cm
i will mark brainliest thank u​

Answers

Answer:

3

Step-by-step explanation:

i changed 1/2 into 0.5 and 3/2 into 1.5 then 0.5 times 4 times 1.5 and got 3

pls mark me branilest

4. I When we multiply
37
X 26
by using the common method, we start the sec-
ond line by writing a zero:
37
X 26
222
0
Explain why we place this zero in the second line.

Answers

Step-by-step explanation:

we do this because when you start multiplying your 2nd digit you would put the zero to signifie that you started a mother digit.

if this is not what your looking for then sorry

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

78

Step-by-step explanation:

Arc GHJ is 81*2= 162 (the arc measure of an inscribed angle that does not cross the center of the circle is 2 times the measure of the angle

since arc GH is 84 and we need HJ, subtract 84 from 162=78

obtuse is to more than 90° as reflex is to​

Answers

9514 1404 393

Answer:

  >180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

acute: < 90°right: = 90°obtuse: > 90°straight/linear: = 180°reflex: > 180°

It seems that we're looking at definitions:

  obtuse : >90° :: reflex : >180°

A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random?


1/5


1/7


5/21


5/20

Answers

Answer:

1/5

Step-by-step explanation:

7 + 13 =20

20 + 5 = 25

5 is a fifth of 25

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 25 socks in total, only 5 of these are green.

The proportion would look like this:

[tex]\frac{5}{25}=\frac{1}{5}[/tex]

A 6-foot ladder is placed against a wall with its base 2
feet from the wall. How high up the wall is the top of the
ladder? (HINT: Draw a diagram to help you visualize
the problem.)

Answers

the top of the ladder is 5.7 feet up the wall!!

Simplify using the distributive property. 8(y+12)

8 y + 96
20+ y
8 y + 12
20 y

Answers

Answer:

8y + 96

Step-by-step explanation:

it's (8 x y) + (8 × 12)

GIVING OUT BRAINLIEST ANSWER !! HELP ME OUT PLSS!!

Answers

Answer:

x = 7 hope this helps !!!

Step-by-step explanation:

Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.

Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.

Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.

this is a type 3 triangle, and you can find the length of y from it, it being 14, and x is half of y, being 7

Tan (30) = x/7[tex]\sqrt{3}[/tex]

Tan (30) times [tex]7\sqrt{3}[/tex] = x

7 = x

Have a great day,

and thank you for the support - Oceanbreeze24

The product of 3m and 5r is 15mr True or False Explain...

Answers

Step-by-step explanation:

let's see....

3m × 5r = 15mr

15(m × r)

15mr.

if it helps don't forget to like and mark me down

What type of correlation is shown in the graph?

A. Positive
B. Negative
C. No Correlation
D. Linear

Answers

Answer:

This graph shows a negative correlation

Hope this helps!

thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)​

Answers

Answer:

A.

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

11. Evaluate f(2) for f(x) = x3 + 6x2 + 3x -5.
A. 24
B. 33
C.43
D. 27

Answers

Answer:

B.33

Step-by-step explanation:

Plug in 2 for x

(2)^3+6(2)^2+3(2)-5=

Answer:

B

Step-by-step explanation:

Remark

F(2) means that wherever you see an x on the right side of the equal sign, you substitute 2 for.

Suppose the question was f(2) = 3x + 5

Put a 2 where the x is.

f(2) = 3*2 + 5

f(2) = 6 + 5

f(2) = 11

Equation

f(x) = x3 + 6x2 + 3x -5.

Solution

f(2) = 2^3 + 6*2^2 + 3*2 - 5

f(2) =  8 + 6*4 + 6 - 5

f(2) = 8 + 24 + 1

f(2) = 33

If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)

Answers

Answer:

[tex]f(3) = -16[/tex]

Step-by-step explanation:

Given

[tex]f(x)= - 4x-4[/tex]

[tex]g(x)= 4x^2 + 4x + 2[/tex]

[tex]h(x)= 3x^2 - 3[/tex]

Required

[tex]f(3)[/tex]

We have:

[tex]f(x)= - 4x-4[/tex]

Substitute [tex]x = 3[/tex]

[tex]f(3) = -4 * 3 - 4[/tex]

[tex]f(3) = -12 - 4[/tex]

[tex]f(3) = -16[/tex]

Hence:

[tex]f(3) = -16[/tex]

Is this correct? I really need to know this

Answers

Yes it is! To find slope you need to find the rise over run, which you can see it rises up 2 times and over once, so 2/1 which is equal to 2 :)

Answer:

Slope (m) = 2

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

consider 2 points - (20,20) and (30,40)

[tex]m = \frac{40-20}{30-20}[/tex]

[tex]m=\frac{20}{10}[/tex]

[tex]m=2\\[/tex]

∴ Slope (m) = 2

State the domain and range
of f(x) = x²

Answers

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

Answer:

range :all real numbers

domain: all real numbers


Which value of x will make these ratios equivalent

24/42=4/x

A.19
B.15
C.7
D.5

Answers

It’s a srry if it’s not gone out here but it’s coo

Help please ASAP thanks

Answers

Answer:   71º

Step-by-step explanation:

I cant remeber the therum but basically its just the opposite, super simple!!

21.79 + x = 25


make sure to do a explanation

Answers

Answer:

x= 3.21

Step-by-step explanation:

25- 21.79= 3.21

the equation equals to 25 so you need to find what x is by subtracting the other value

Hope this helps

the real zeros of √(x-1)+x+1​

Answers

X=0 I’m not sure though but I’m pretty sure

Can some one please explain how to do this? 1.253 x 7.4 =

Answers

Answer:

9.2722

Step-by-step explanation:

7.400

*1.252

_____

9.2722

Its simple, plz rate 5 str, thx, and brailiest

To the nearest square centimeter, what is the area of the circle below? Use pi = 3.14

Answers

Answer:

[tex]radius \: \: r = 5 \: cm \\ area = \pi {r}^{2} \\ = 3.14 \times (5) {}^{2} \\ = 78.5 \: {cm}^{2} [/tex]

Answer:

[tex]78.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=(\pi )(5)^{2}[/tex]

[tex]A=78.5[/tex]

so I guess rounding it to 79

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