Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....

Answers

Answer 1

Answer:

a_n= -3n

Step-by-step explanation:

Answer 2

Answer:

a_n= 7(-3) n-1

Step-by-step explanation:


Related Questions

Need help plz ASAP!!! Plz show work too!

Answers

Area= length x width
Area = 12 x 80
Area= 960 in
Write a paragraph describing the differences and similarities between El Sistema and The Recycled Orchestra. Describe their respective countries and situations and how they use music to escape their realities.

find the length of the diagonals of rectangle QRST

Answers

Answer:

11. 26

12. 111

Step-by-step explanation:

_____________

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)

Answers

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

what is thirty times 80

Answers

Answer:

2400

Step-by-step explanation:

3 times 8 is 24

24 added by two zeros is 2400

Hope this helps!

The function V=25000\left(0.82\right)^tV=25000(0.82) t models the depreciation of the value of a new car that originally cost $\text{25,000}25,000. VV represents the value of the car and tt represents the time in years from the time the car was purchased. What is the value of the car after 6 years?

Answers

Answer:

V = 7,600.17

Step-by-step explanation:

Given:

V=25000(0.82)^t

Where,

V = value of the car

t = time in years

Find V when t = 6

V = 25,000(0.82)^t

= 25,000(0.82)^6

= 25,000(0.304006671424)

= 7,600.1667856

Approximately

V = 7,600.17

Given the triangle below find the measure of ZF and ZD.
D
20
E
F
17
ZF-
ZD=

Answers

Answer: angle f is 31.788 and angle d is 58.212

Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it

easy algebra question below first correct answer gets brainliest

Answers

Answer:

using pythagoras theorem

h^2=p^2+b^2

h^2=12^2+9^2

h^2=144+81

h^2=225

h=[tex]\sqrt{225}[/tex]

h=15

Step-by-step explanation:

HElp asap PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!!

Answers

[tex] \huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given figure is a sphere :

[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]

[tex] \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4[/tex]

[tex] \dfrac{5632}{21} [/tex]

[tex]268.1 \: \: mi {}^{3} [/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

Solve for r.
0.5(r +2.75) = 3

Answers

Answer:

r = 3.25

Step-by-step explanation:

Start by eliminating the decimal fraction 0.5:  2(0.5)(r + 2.75) = 2(3) = 6

Then we have r + 2.75 = 6.

Isolate r by  subtracting 2.75 from both sides.  This leaves us with

r = 6 - 2.75 = 3.25.

r = 3.25

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Answers

Answer:

[tex]y=3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]

[tex]y=3x+4[/tex]

I hope this helps!

The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18,
19, 19, 4, 14, 8, 22, 3, 1. Using the given data, find the mean for this sample.

A. 12

B.19

C. 29

D. 14

Answers

Answer: 12

Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12

Hope that helped!!

sam has a rope that is 38 feet long. He cuts the rope into 2 pieces. One piece is 1.5 feet long .

How long is the other piece?

Answers

Answer:

36.5 feet long.

Step-by-step explanation:

38-1.5 is equal to 36.5, you subtract to find the other number, therefor one piece is 1.5 feet long and the other is 36.5 feet long.

Answer:

36.5 feet long

Step-by-step explanation:

38 - 1.5

= 36.5


Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.
Determine the arc length of SR Use mathematics to explain how you determined your answer.
Help

Answers

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

hELP help help help help​

Answers

Answer:

the answer is not here

Step-by-step explanation:

because for it to 5 decimal place there need to be 5 numbers after the point

Q2
The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]

Answers

Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function [tex]r(t) = 50\cdot e^{-0.013\cdot t}[/tex], which is a monotonous decreasing function. Hence, the greater the values of [tex]t[/tex], the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.

Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?

1/2

1/4

3/4

1/8

Answers

Answer:

1/4

Step-by-step explanation:

someone please help with this!! 10 points available!!

The approximate volume is ___ cubic centimeters. Do not round your answer.

Use 3.14 for π.

Answers

Answer:

19329.84

Step-by-step explanation:

3.14×18 which is squared so it 324×19

3.14×324×19= answer

Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.

Answers

The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).

How to calculate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:

2/3(9x−15)−(−6x+2) .

= (6x - 10) + 6x - 2

= 6x - 10 + 6x - 2

= 12x - 12

= 12(x - 1)

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Create your own story problem ill give 100 points

Answers

Answer:

Step-by-step explanation:

Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this

I got 3141.59 on a calculator after doublechecking but it doesn't seem right

Answers

Answer:

ya its right

Step-by-step explanation:

that is the right answer

Plz help me anyone it’s being timed

Answers

Answer:

consistent.

Step-by-step explanation:

if lines cross they're consistent. If they dont they're inconsistent and if they overlap completely they're equivalent

Someone please help me out!!

Answers

Answer:

That's a right angled Triangle

When viewed upside down

(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)

tanA= Opp/Adj

tanA= 30/40

tanA= 3/4

OPTION D SEEMS LEGIT!!!

rs 560 in the ratio of 1:3:4

Answers

Step-by-step explanation:

see in picture .

you can find your answer

Please help no links

Answers

Answer:

x=11

Step-by-step explanation:

These add up to 180 since a straight line = 180 degrees

Your equation is: 4x+15+11x=180

15x+15=180

15x=165

x=11

Answer:

X=11

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

4x+15+11x=180

15x+15=180

180-15=165

165/15=11

X=11

Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is being painted

A. 20/28
B. 2 6/7
C. 4 5/7
D. 5 3/5

(NEED IT PLEASE)

Answers

the answer to you question is D

If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor

Answers

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

How do I find the volume?

Answers

Answer:

425 ft³

Step-by-step explanation

Find the volume of the entire figure, if the part wasn't cut out

It would be 11 x 8 x 5 = 440

Now do 5 x 1 x 3 = 15

440 - 15 = 425

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find z.

What is the length of the missing leg?

b = _____ miles

Answers

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

For what value of k is the expression x4+kx2+36 a perfect square?

Answers

Answer:

12

Step-by-step explanation:

Because if you see clearly that is the only answer that makes the most sense!

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The equation is given below.

⇒ x⁴ + mx² + 64

Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,

b² = 4ac

m² = 4 x 1 x 64

m² = 265

m² = 16²

m = 16

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

More about the perfect square trinomial link is given below.

brainly.com/question/16615974

#SPJ3

complete question:

For what value of m is the expression x4+mx2+64 a perfect square?

PLEASE HELP ME ILL MAKE BRAINLIEST HURRY

The table below shows a proportional relationship between the cost of movie tickets and number of tickets purchased.



What is the constant of proportionality?

A
5.5

B
9.5

C
8.5

D
17

Answers

Answer:

D.17

Step-by-step explanation:

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