What is the recursive formula for this arithmetic sequence?
-7, -1, 5, 11, ...

What Is The Recursive Formula For This Arithmetic Sequence?-7, -1, 5, 11, ...

Answers

Answer 1

Answer:

The answer is A

Step-by-step explanation:

why it is a is...

the first like is the # your arithmetic sentence starts with which is -1

the second line is what you do to get to the next #

each time you are adding 6

Answer 2

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

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

Also, the recursive formula for any arithmetic series is given by the formula,

[tex]a_n = a_{(n-1)} + d\\\\[/tex]

Or, it can be also written as,

[tex]a_{(n+1)} = a_{n} + d[/tex]

where d is the difference and a₁ is the first term of the sequence.

For the given arithmetic sequence, the common difference can be written as,

Common difference = -1 - (-7)

                                  = -1 + 7

                                  = 6

Now, the recursive formula for this arithmetic sequence can be written as,

[tex]a_n = a_{(n-1)} + 6[/tex]

Also, the first term of the given arithmetic series is -7.

a₁ = -7

Hence, the correct option is A.

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Related Questions

Find the positive of x that makes the equation true.
x^2 = 225​

Answers

Answer:

x = 15

Step-by-step explanation:

15 * 15 = 225

Answer:

X = 15

Step-by-step explanation:

This is because if you square 15, you get 225.

The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)

Answers

Answer:

Step-by-step explanation:

Average price of a two bedroom apartment can be approximated by the equation,

p(t) = [tex]0.12e^{0.10t}[/tex]

Here, t represents the duration from year 1994.

Duration from year 1994 to year 2004 = 10 years

p(10) = [tex]0.12e^{0.10\times 10}[/tex]

        = 0.12e

        = 0.3262

        ≈ 0.33 million

Cost of the apartment in 2004 was 0.33 million.

Let the equation to calculate the rate of increase in the price is,

p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]

Cost of the apartment after 10 years = 0.33

0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]

[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]

2.75 = [tex](1+\frac{r}{100})^{10}[/tex]

[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]

1 + [tex]\frac{r}{100}=1.106[/tex]

[tex]\frac{r}{100}=0.106[/tex]

r = 10.6%

Therefore, price of the apartment is increasing with 10.6%

which of the following doesn't describe a point?​

Answers

Answer:

It has infinite length, but no width and no thickness (It describes a Line )

Hope it helps...

Have a great day :P

If it has an infinite length but no width Does not describe a point

A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for

Answers

Answer:

523.3

Step-by-step explanation:

The volume of a cone is 1/3 hB where h is the height and B is the area of the base.

Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314

Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3

523 meters cubed (rounded to nearest cubic meter)
(Full answer is 523 1/3)

1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it

Answers

Answer:

5 T-shirts = $54

10 T-shirts = $108

20 T-shirts = $216

7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}

Tysm

Answers

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

What is 25 x 65 / 73?

Answers

25x65=1625

1625/73=22.26

Please no links just the letter answer and explanation please

Answers

Answer:

-6.5 degrees/km  

Step-by-step explanation:

I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2

If you answer correctly you get one of those crown things

Answers

Answer:

CDBE

Step-by-step explanation:

If you add angle CD and BE together it would be CDBE

What is the area of the segment?

Answers

Answer:

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls

Answers

Answer:

Step-by-step explanation:

i need help right now!!!!

Answers

Answer:

look at the picture i sent...........

The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?

Answers

V = 1/3 * B * h     /*3

V * 3 = B * h       /B

V * 3 / B = h

h = V * 3 / B

Find the area of the shaded region. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

The area shaded region is found to be as 192.97 ft².

What is a circle?

A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.

The centre of the circle does not lie on it.

The largest line segment that can be drawn inside a circle is its diameter.

For the given circle,

Radius is given as 8.35 ft.

And, the angle subtended by minor arc is 100°.

Then, the angle formed by major arc is 360 - 100 = 260°.

Noiw, the area of shaded region is given as below,

Area of the sector for major arc + Area of triangle

⇒ 260/360 × πr² + 1/2 × r²

Plug π = 3.14 and r = 8.35 to obtain,

⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²

⇒ 192.97 ft²

Hence, the area of the shaded region is obtained as 192.97 ft².

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I WILL MARK BRAINLIEST!! What is the value of x in this triangle?

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:  x = 8

=============================================================

Explanation:

The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.

Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.

-------------

JK = 2*(NO)

2x+8 = 2*(12)

2x+8 = 24

2x+8-8 = 24-8 .... subtract 8 from both sides

2x = 16

2x/2 = 16/2 ...... divide both sides by 2

x = 8

If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.

John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?

Answers

Answer:

49 Dollars

Step-by-step explanation:

If you subtract 70- 30%, you get 49 dollars

Hope this helps =)

$49 because if you subtract 30% from $70 that’s what you get

The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10

Answers

I think the answer B step by step

The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit

How to interpret the scatter plot?

From the complete question, we have the following highlight:

The blue line is the predicted number of hitsThe red line is the actual number of hits.

From the graph, we have the following readings at x = 450

Actual readings y = 123 Predicted readings y = 113

Calculate the difference

d = 123 - 113

Evaluate the difference

d = 10

Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit

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2y^2 + 4y^2 + 8 + 3 helpp

Answers

Answer:

11

Step-by-step explanation:

2y + 4y = 6y = 6y + 8 + 3 Add the numbers: 8 + 3 = 11     hope this helps ;)                      ITS A ME LUIGI ON THE XBOX ONE WAAAAAAAAAAAAAAAAAAAAAAAAHHOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                                                                              

Find the x and y for numbers 2 and. 3 thank you

Answers

Answer:

(0, 4 ) and (2, - 4 )

Step-by-step explanation:

(2)

3x + 4y = 16 → (1)

- 3x + 2y = 8 → (2)

Adding (1) and (2) term by term will eliminate the x- term

0 + 6y = 24

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(4) = 16

3x + 16 = 16 ( subtract 16 from both sides )

3x = 0 , then

x = 0

solution is (0, 4 )

(3)

2x - 4y = 20 → (1)

5x + 4y = - 6 → (2)

Adding (1) and (2) term by term will eliminate the y- term

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

5(2) + 4y = - 6

10 + 4y = - 6 ( subtract 10 from both sides )

4y = - 16 ( divide both sides by 4 )

y = - 4

solution is (2, - 4 )

a village school starts at 8.30am and end at 3.45pm.how long is the school day

Answers

7 hours and 15 minutes

Answer:

7 hours and 15 minutes.

Step-by-step explanation:

Draw a timeline for this question.

8.30 + 7 hours = 3.30pm or 15 30

3.30 + 0.15 minutes = 3.45 or 15 45

7 hours + 0.15 minutes = 7 hours and 15 minutes.

No clue on how to do this

Answers

Answer:

parallelogram

Step-by-step explanation:

That's the answer....

What is the slope of line help please pleaseeee

Answers

Answer:

3/2

Step-by-step explanation:

Slope = rise / run

Rise: 3

Run: 2

Slope = 3/2

Answer:

Awnser: the slope is y=-3/1

Which of the following shows the prime factorization of 200 using exponential notation?

Answers

Answer:

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) [tex]\frac{200}{2} = 100[/tex] (Even number)

2) [tex]\frac{100}{2} = 50[/tex] (Even number)

3) [tex]\frac{50}{2} = 25[/tex] (Even number)

4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

[tex]200 = 2^{3}\times 5^{2}[/tex]

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Answer:

2 * 3 * 5

Step-by-step explanation:

made a 100 on the text trust!!!!!

Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.​

Answers

Let's assume the number as x

According to the question,

2/3x-6=22

2x-6=22×3

2x= 66-6

2x=60

x=60/2=30

Therefore, as x=30, The number is 30 itself.

5/8 plus 1/16 simplified

Answers

we want to make their denominators the same to add them, their common denominator is 16
So 5/8 will become 10/16
now we can add both fractions easily
10/16 + 1/16 = 11/16

9−z9, minus, z when z = 8z=8z, equals, 8.

Answers

Equal is 89 cause z9=8z

A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?

Answers

Answer: 220 miles

Step-by-step explanation:

Let's write the equations for each case:

A Hertz Rent-a Car:

Charges a fixed amount of $40, plus a $0.10 per mile.

Then if you drive x miles, we get a total cost of:

C(x) = $40 + $0.10*x

Enterprise Rent-A-Car:

Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:

K(x) = $18 + $0.20*x

Now, we want to find how many miles you can drive such that you would pay the same in both companies.

Then we need to find x such that:

C(x) = K(x)

$40 + $0.10*x = $18 + $0.20*x

Let's solve this for x.

$40 - $18 = $0.20*x - $0.10*x

$22 = ($0.20 - $0.10)*x

$22 = $0.10*x

$22/$0.10 = x

220 = x

So if you drive exactly 220 miles, you would pay the same in both companies.

How many moles are in 9.03 x 1023 Li atoms?
please help me

Answers

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I

Answers

Step-by-step explanation:

Compounded quarterly means n=4

Find the total surface area of the number
cube.
2 in.
2 in.
2 in.

Answers

Answer: 24 Inches

Step-by-step explanation:

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