Derive the explicit rule for the pattern: 3, 0, - 3, - 6, - 9, ...

Answers

Answer 1

Answer:

Step-by-step explanation:

a1 = 3

d = -3

an = a1 + (n - 1)*d

an = a1 + (n - 1)*-3

Try it

Let n = 5

a5 = 3 + (5 - 1)*-3

a5 = 3 + 4*-3

a5 = 3 - 12

a5 = - 9 which is exactly what it should be.

The interesting one to try is n = 2

a2 = a1 + (2 - 1)*-3

a3 = 3  + 1(-3)

a3 = 3 - 3

a3 =0

Which is exactly what the second term is. It's interesting because you would never guess that 0 is what you get.


Related Questions

William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?

Answers

Answer:

$198.72

Step-by-step explanation:

Help me plz NO LINKS


Thanks

Answers

Answer:

please I am tired texting and answering questions.

Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.

Answers

r= money collected at the raffle.
670+r= 1,350. Subtract 670 from each side of the equation to isolate the variable. Once you do that, you get r= $680.

Answer:

1,350-670=R

Step-by-step explanation:

R means Raffle

Which Graph is (x—5)^2/25 - (y+3)^2=1

Answers

Answer:

One that looks like this.

Step-by-step explanation:

the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base

Answers

15 js the base of the rectangle because you find the area by doing length times width

Simplify the expression.
7- 5n + n + 5

Answers

-4n+12

Explanation-
Like terms

Six movie tickets cost $96 what is the cost per ticket

Answers

Cost of 6 tickets = $ 96

Cost of 1 ticket = ?

Cost of 1 ticket = 96/6

Cost per ticket = $ 16

______

Hope it helps ⚜

Step-by-step explanation:

6 tickets=$96

1 ticket =96/6

=16

A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.

The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below

sea level.

Answers

Answer:

21 above is the answer

Step-by-step explanation:

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

3x+5y−7x+6=12
Calculate.Solve for x.​

Answers

The value of x from the equation is x = (5y - 6)/4

Given the equation 3x+5y−7x+6=12

collect the like terms;

3x-7x + 5y + 6=12

-4x + 5y = 12 - 6

-4x + 5y = 6

Subtract 6 from both sides

-4x + 5y - 5y = 6 - 5y

-4x = 6 - 5y

4x = 5y - 6

x = (5y - 6)/4

Hnce the value of x from the equation is x = (5y - 6)/4

learn more on subject of formula here: https://brainly.com/question/657646

WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!

Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?

A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial

BTW reason the subject ios math is because no one is helping me when I put other subject. :(

Answers

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

I need help this is easy tho!

Answers

the answer is false

Answer:

it is true

it's a quadralateral

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1

Answers

Answer:

12-3×3-2

12-6-2

12-11

1

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

tell me, what is 24 x 0.25?

Answers

Answer:

it is 6.

Step-by-step explanation:

Express sin U as a fraction in simplest terms.
S
12
13
5
U

Answers

Answer:

12/13

Sine is opposite over hypotenuse. The opposite side of U is 12 and the hypotenuse is 13, so the answer is 12/13

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.

Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7. Yes, because (6, 4) is above the line No, because (6, 4) is below the line Yes, because (6, 4) is on the line No, because (6, 4) is on the line

Answers

Answer:

No, because (6, 4) is on the line

Step-by-step explanation:

y>-1/2(x)+7

4>-1/2(6)+7

4>-3+7

4>4

Can someone help me please

Answers

50 would be your answer because it is adding 15 each time

The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?

Answers

Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 13.9

Step-by-step explanation:

15cos(22) = 13.9

Answer:

x = 13.9

Step-by-step explanation:

For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

cos 22° = adj/hyp

cos 22° = x/15

x = 15 × cos 22°

x = 13.9

Answer: x = 13.9

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

WILL MARK BRAINLIST
5 less than P
A. 5-p
B. p-5

Answers

B
Because 5 LESS THAN p is p - 5

A
B
(7y+9)
If
2yº
04
с
What’s m

Answers

Answer:

acute angles A and C are 38°obtuse angles B and D are 142°

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card

Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

What is the volume of a cylinder with a height of 13 and radius 6?

Answers

1470.27

v = pi r^2 (H)

v = 3.14 (6^2) (13)

v = 3.14 (36) (13)

v = 1470.27 (about)

Answer:

V = 1470

Step-by-step explanation:

V = πr²h

V = (3.14)(6²)(13)

V = (3.14)(36)(13)

V = 1469.52

Matt had instruction to take a box of nailsn

Answers

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation

Answers

Step-by-step explanation:

Given:

f(x) = x² and g(x) = (x - 9)² + 3

If g is the translation of f then it is:

g(x) = f(x - 9) + 3

This is a shift right 9 units and up 3 units

Answer:

Yes

Step-by-step explanation:

f(x)=x²

y=x²

Shift nine units right

y={x-9)²

Shift 3 units up

g(x)=(x-9)²+3
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