write a formula that will yield the nth term of the sequence: 3,-2,-7,-12

Answers

Answer 1

Answer:

-5n + 8

Step-by-step explanation:

1. What is the difference?

  The sequence goes down by 5. This means that the formula will have -5n in it.

2. Work out the term before the first term.

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

3. Put that term at the end of the equation.

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

Substitute:   n = term

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!


Related Questions

PLEASE HURRY I DONT KNOW THE ANSWER

Answers

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

Find the volume of a cone with the diameter of 40, and a height of 12.
(Hint: the volume of a cone is 1/3*b*h where the "b" is the area of the
base of the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for P1!!! *

Answers

Answer:

Step-by-step explanation:

will mark bianleast plz asap
What is the mode of the data set?
Line plot titled Books Read with 0 - 3 dots, 1 - 2 dots, 2 - 7 dots, 3- 6 dots, 4 - 4 dots, 5 - 2 dots, 6 - 1 dot.



Six books

Two books

Four books

Three books

Answers

Answer:

2 books

Step-by-step explanation:

The mode is the one that is most frequent, and reading 2 books during the summer is the most frequent thing to do in this diagram as it has been performed the most times.

Hope this helps!

treviglaslibrary

the mode is the number which appears most frequently so in this case the answer would be the 6 books read over the summer is the mode

Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44

Answers

Answer:

Jason Inherit a land with a 45% chance of having oil.

Step-by-step explanation:

 The probability of the land having oil is = P ( O) = 45 /100

The probability of the land having oil is= Q(O ) =55/100

The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.

The probability of the correct reading is=  P(M)=80/100

The probability of the incorrect reading is=Q(M)=20/100

The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present  ×  probability of the incorrect reading

Probability=P(O) x Q(M)

Probability=45/100 x 20/100

Probability=9/100

The probability of the test predicting no oil in land and the land has oil is  0.09 or 9%

what are the values of the coefficents and constant term of 0= 4-7x^2

a=
b=
c=​

Answers

Answer:

a = -7

b = 0

c = 4

Step-by-step explanation:

Solve the following equation for x.
7x-3y=-13

Answers

Answer:

x = 3/7y - 13/7

Step-by-step explanation:

7x-3y=-13

  +3y   +3y        Add 3y to both sides

7x = 3y - 13       Divide both sides by 7

x = 3/7y - 13/7

You can also use this app called desmos

A beaker is completely filled with water
​A ball in the shape of a sphere ​with radius 4 centimeters is placed in the beaker and is completely ​submerged, causing the volume of water equal to the ball’s volume to ​overflow.
​​All of the water that overflows is collected in a funnel in the ​shape of a cone.
​​When the funnel is held vertically, the surface of the ​water collected forms a circle of radius 4 centimeters.
​What is the ​height of the cone formed by the water in the funnel?
​​Round your ​answer to the nearest inch.

Answers

Answer:6.3 in.

Step-by-step explanation:

Given

Radius of sphere [tex]r=4\ cm[/tex]

When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel

Such that amount of water equivalent to sphere volume is collected in it.

volume of ball

[tex]V_s=\frac{4\pi }{3}r^3[/tex]

[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]

[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]

Now volume of water collected is in shape of cone then volume of cone

[tex]V_c=\frac{\pi }{3}r^2h[/tex]

and [tex]V_s=V_c[/tex]

[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]

[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]

Please help. i am being timed

Answers

Be touring and it will all work out

Answer:

About 2.38 square feet of extra fabric: 1.25 of dark blue and 1.13 of light blue

Need $13.75 to complete template for white fabric

Step-by-step explanation:

Template requires 18 square feet of white, 20 square feet of light blue and 21 square feet of dark blue.

She has more than enough for both shades of blue fabric.

She needs 5.85 square feet more of white fabric

Since it is $2.35 per square feet of white fabric, 2.35 * 5.85 = $13.75.

It will cost her $13.75 for more white fabric

Hope this helps!

If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.

Answers

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

The graph of y= -2x + 10 is:
O A. a point that shows the y-intercept.
O'B. a point that shows one solution to the equation.
O c. a line that shows the set of all solutions to the equation.
O D. a line that shows only one solution to the equation.
SUBMIT
Helppp me plzzzz

Answers

Answer:

A. a point that shows the y-intercept

Step-by-step explanation:

8(y^0) + (-7)(y^0)=________

Answers

Since anything to the power of 0 is 1.

You get

8(1)+(-7)(1)
8-7
1

Answer:

1

Step-by-step explanation:

8(y^0) + (-7)(y^0)

Remove parentheses: (a)=a

= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]

Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]

= [tex]y^{0}[/tex]

Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]

= 1

What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2

Answers

Answesr:

À

Step-by-step explanation:

A cube has faces of equal measurements so u multiply the area of one face with 6

(5×5)6=150

Answer:

150 m 2

A

Step-by-step explanation:

Which line has a y-intercept of –2?a)

both ℓ and t


b)

t


c)




d)

p

Answers

Answer:

P

Step-by-step explanation:

It passes through -2 on the y-axis

HOPE THIS HELPS! (:

(x⁵-9x³+7x)+(x³-x⁵-7-x)

Answers

Answer: -8x^3 - x - 7

Answer:

First open parenthesis:

x^5-9x^3+7x+x^3-x^5-7-x

-8x^3+6x-7

[tex]-8x^{3} +6x-7[/tex]

PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5

Answers

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

Can someone help me with this, I will mark you as brainliest!

Answers

The second one is the answer because you have to start with 180 first meaning you rotate 180 and reflect which is rx .hope this helps

Pls help I’ve already tried 3/11 but it says it wrong

Answers

Answer:

12

Step-by-step explanation:

Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is

3/11 x 44/1 = 132/11 = 12.

As I said, correct me if I'm wrong.

Hope this Helps!

Which of the following is a TRUE statement about the triangle below?

Answers

Answer:

it is an acute triangle

Step-by-step explanation:

angle M is 180 - 44 - 77 = 59

since all angles are less than 90 degree, thus is an acute triangle

Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?

Answers

Answer:

$20.30

Step-by-step explanation:

There are 4 people so 81.20/4 = 20.30

Answer: $20.30

Step-by-step explanation:

There are 4 people and so you need to divide the cost by the amount of people to see what each person owes

What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = -(x - 6) and passes through the point (-2, -2)?
o y = x - 10
0 y = x + 10
o y = 2 X-1
O y = x + 1

Answers

Answer:

I think it is c

Step-by-step explanation:

I just worked it out but I am not sure if I am 100% right.

hope this helped at all!!!

Answer:

y = 3/2x - 1

Step-by-step explanation:

Slope intercept form = y = mx + b

m = slope of the line = -2/3

y = -2/3x + b

Plug in (-2, -2) and the perpendicular line is

y = 3/2x - 1

You are welcome and don't for get to click THANKS

Please help me i dont understand this lol thank you

Answers

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)

Answers

Given coordinate rule. T(x, y) → (x + 3, y – 6) determine the pimage of A(-1, 5)? ... f) P (x,y) ------ > (x + 3, 2y) A (-4,9). A' (-1, 18)_. B (2, 4)_. B' (5,8). 9.

What is the constant in 15-8y
A 15
B 8
C-8
D -15

Answers

Simplifying
15 + 8y = 15

Add '-15' to each side of the equation.
15 + -15 + 8y = 15 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 15 + -15
8y = 15 + -15

Combine like terms: 15 + -15 = 0
8y = 0

Solving
8y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '8'.
y = 0

Simplifying
y = 0

thomas has 4 blocks colored blue,red,green and yellow. How many different ways can he combine them on a shelf?

Answers

Answer: 24

Step-by-step explanation:

Take the factorial of that number.

4! = 4*3*2*1=24

A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse

Answers

Answer:

Right

Step-by-step explanation:

when a triangle has a 90 degree angle it is always right

Answer:

right angle triangle

Step-by-step explanation:

triangle consists of 90° causing it to be right angled

pls help help me need help!!

Answers

Answer:

50 feet

Step-by-step explanation:

[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]

Hope this helps!

Answer:

50 feet

Step-by-step explanation:

hope this helps

A headteacher wants to survey two Year 7 students. There are 100 students in Year 7. How many possible pairs of students can the headteacher pick?

Answers

Answer:

100 divided by 40 is 14

Step-by-step explanation:

just dived 100 by 40 is 14 then add  7 to 14 they give you 21

Which is a possible turning point for the continuous
function f(x)?
HELP ASAP

Answers

Answer: B. (-2, -1)

Step-by-step explanation:

(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.

Answer:

b

Step-by-step explanation:

What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 17

Answers

Answer: B. 17

The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.

Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.

Answer:

17

Step-by-step explanation:

It's the only number that repeats and I also took the test :)

The number 16 has two square roots: 4 and _

Answers

Answer:

4

Step-by-step explanation:

4 times 4 = 16

Answer:

sqrt(16) = +4 and -4

Step-by-step explanation:

A square root has a positive and a negative square root

sqrt(16) = +4 and -4

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