Write a recursive formula for the following arithmetic sequence.
8, 5, 2, −1,

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = 8 ← recursive formula


Related Questions

HELP ME PLEASE!!!


I don't understand how to work this out....


If possible please explain/work it out either on text or with a picture!

Answers

Answer:

..

Step-by-step explanation:

<B = <D = 61 (AB parallel with DE)

61 = 2x

x = 30.5

6% of x = 1.2; what is x

Answers

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer is X=20 change % to a decimal

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Mark knows that he will need to buy a New car in five years the car will cost 15,000 my man how much did he invest now at 8% compounded quarterly so that he will have enough to buy any car

Answers

Answer:

.8 * 15000 = 12000

Step-by-step explanation:

The profit y from selling x muffins can be represented by a linear function. The profit from selling 5 muffins is $4.
The profit from selling 7 muffins is $8. What is the slope of the line represented by the data?
a. 1/2 b. 1 c. 4/5 d. 2




Answers

Answer:

A

Step-by-step explanation:

5 divided by 4 is 1.2

The radius of a grapefruit is 5/2 inches. What is the approximate surface area ? Use 22/7 for π.

Answers

Answer:

19.6 in^2 approximately.

Step-by-step explanation:

Assume it's close to being a sphere.

So the approximate surface area

= 4 pi r^2

= 4 * 22/7 * (1/2* 5/2)^2

= 19.6 in^2.

Answer:

550/7

Step-by-step explanation:

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Simplify the expression

Answers

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

im having a crisis
2] Simplify: √3∙√6

A. √18

B. 3√2

C. 9√2

D. 4.24

3] 2√5∙4√5

Response: __________

4) The simplified form of √1749 is √177.

A. True

B. False

5) Simplify: √24√6

A. cannot be determined

B. √1446

C. 2

D. √6

6) Solve: 3x2 + 12 = 12

Response: __________

Answers

2. A
3. False
4.False
5. D
6. 18

Which descriptions are true of the function shown in the table? Check all that apply.
Quadratic
Linear
Rational
Y= 5x+10
Y=5x^2+10
Y=5/x+10

Answers

9514 1404 393

Answer:

LinearY = 5x+10

Step-by-step explanation:

As x-values increase by 1, y-values increase by 5. This means the function is linear and has a slope of 5/1 = 5. The appropriate choices are ...

  Linear

  Y = 5x+10

Answer:

b & d

Step-by-step explanation:

yw

Write the equation of the circle graphed below. Plssss helppp

Answers

Answer:

(5,0) You need to calculate the horizontal axis first wich is 5

Step-by-step explanation:

Answer:

(5,0)

Step-by-step explanation:

Would you mind giving me brainliest?

Which expression is equivalent to: 7^14 divided by 7^2?
A. 7^16
B. 1^7
C. 7^7
D. 7^12

Answers

Answer:

7^12  or 7 to the 12th power!

Step-by-step explanation:

[tex]7^{14}[/tex] ÷ [tex]7^{2}[/tex] = [tex]7^{12}[/tex]

14-2=12

7 stays as the base so

[tex]7^{12}[/tex]

The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

7^14 divided by 7^2

now, we have to find the expression which is equivalent to: 7^14 divided by 7^2.

so, we have,

7^14 ÷ 7^2

= 7^14 / 7^2

=7^14-2

as, we know that,

14-2=12

so, we get,

7^14-2

=7^12

as, we know,

7 stays as the base so,

7^14 ÷ 7^2 = 7^12

Hence, The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

The quadratic function d = –3x^2 + 16 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill. After how many seconds is the skateboarder 8 ft from the bottom of the hill?

Answers

Answer:

To find the solution, plug in 8 for d

d=-3x2+16  

8=-3x2+16  Subtract 8 from both sides

0=-3x2+8

Now, use the quadratic equation to solve for x  

 

a=-3

b=0

c=8

x=1.63 or  

C. 1.6s

Step-by-step explanation:

The skateboarder is 8 feet from the bottom of the hill after 1.633 seconds.

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given that,

Quadratic function which models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill is,

d = –3x² + 16

We have to calculate after how many seconds is the skateboarder 8 ft from the bottom of the hill.

d = 8 feet. Substitute it.

–3x² + 16 = 8

–3x² = 8 - 16

3x² = 8

x² = 8/3

x = √(8/3) seconds

  ≈ 1.633 seconds

Hence the time is approximately 1.633 seconds.

Learn more about Quadratic Functions here :

https://brainly.com/question/25470387

#SPJ3

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

A dog run has an area of at least 150 square feet. The length of the run has to be 12 feet. What us the width of the run?​

Answers

Answer:

The width is 12.5

Step-by-step explanation:

so you would do 150 divided by 12 which would give you 12.5 so the width has to be 12.5 because length times width = area and 12.5 time 12 = 150

Hope this helped :3  o(* ̄▽ ̄*)ブ

Answer:

12.5 ft

Step-by-step explanation:

Area of a rectangle of length L and width W:  A = L * W

Then 150 ft^2 = (12 ft)(width), and so:

(width) = (150 ft^2) / (12 ft) = 12.5 ft

What is the distance between (-6, 8) and (-3,9)?
Choose 1 answer.
4
6
√10
√15​

Answers

Answer:

180o 2 + 3 = 180o If the above statements are ... Theorem to Find Distance Geometry Geometry DIRECTIONS: Choose or write the correct answer . ... -8 12 units C√12 units D√74 units 13 units -2 -3 -4 A6 units -5-6 B -7 -8 -9 4.

Step-by-step explanation:

Simplify each side of the equation.
6-4 = k-3k

Answers

Answer:

k = -1

Step-by-step explanation: 6-4 = k-3k

subtract: 2 = -2k

divide both sides by -2: k = -1

simplifying is easy! we simply add or subtract like terms on each side.

6-4=2

1-3=-2 and then add k which is the variable so -2k

The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k

I need help pleaseee

Answers

Answer:(0,7)(1,42/5)

Step-by-step explanation:

Put one dot on (0,7), the other on (1,42/5)

help pls!!!!!!!!!!!!

Answers

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

When a fair 6-sided dice is rolled 10 times, the resulting face values are as
follows: 1, 2, 6, 5, 5, 6, 3, 4, 5, 1. After conducting the experiment, the researcher
claims that P(5) = .30. This is an example of ______
probability.

Answers

Answer:

This is an example of independent probability.

Step-by-step explanation:

Independent events are not affected by previous events, just like the outcome of rolling a dice is not effected by the previous outcome. (The dice has no memory of any kind, what so ever!).

When two events are said to be independent of each other, meaning the probability that one event occurs in no way affects the probability of the other event occurring. Another example of an independent event is when you flip a coin. (The coin has no memory of any kind, what so ever!).

Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:

P(A and B) = P(A) · P(B)

The dice was cast 10 times. In three occasions a 5 came out, and in 7 occasions another outcome occurred. The probability of the outcome of exactly 3 times a 5 in 10 casts, can be calculated as:

P(5) =(1 / 6)^3 + (5 / 6)^7

P(5) = 0.28

P(5) = .3

Hello, I need help to figure out the arc measure of AH and GC. Could someone please give me the answer as well as the work ?

Thank you in advance!

Answers

Answer:

AH=AB and GC=CB

Step-by-step explanation:

Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...

Answers

Answer:

45

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 - 2 = 1, thus

[tex]a_{44}[/tex] = 2 + (43 × 1) = 2 + 43 = 45

the answer is 45

hope this helps :)

Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?

Answers

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

Write the number 38 in base five.

Answers

Answer:

I believe since 38 is base 10 then in bas 5 it will be 123 I hope I helped

Step-by-step explanation:


A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.

Answers

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

I NEED HELP QUICKKKKKKKKK PLZ
-1/2(-3y+10)

Answers

Answer:

I think its 1.5y-5

Step-by-step explanation:

-1/2×3y=1.5y

-1/2×3=-5

Order the following numbers from least to greatest.
Put the lowest number on the left.
24. 72. 48. -24.

Answers

Answer:

-24, 24,48,72

Step-by-step explanation:

I need to know the following written in slope-intercept form please:
3x+y-7=2
3x+4y=24
x-y=5

Answers

Answer:

1)  y = -3x + 9

2) y = -3/4x + 6

3) y = x - 5

Step-by-step explanation:

1) 3x + y - 7 = 2

            +7   +7

        3x + y = 9

       -3x        -3x

                y = -3x + 9

2) 3x + 4y = 24

  -3x           -3x

          4y = -3x + 24

          4        4      4

          y = -3/4x + 6

3) x - y = 5

  -x        -x

      -y = -x + 5

       -1     -1   -1

        y = x - 5

3. Find the value of X in degrees

Answers

109!!


180-64-45= 71. Angle x amd the interior angle create a 180 degree line. And 180-71= 109; the sum of the 2 angles in the triangle are equivalent to the exterior angle

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

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