1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Misha Larkins [42]
3 years ago
9

Write the Explicit Rule for the arithmetic sequence:Qp = Q1 +(n-1)d8, 5, 2, -1, ...​

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

Last choice.

Step-by-step explanation:

8, 5, 2, -1, ...​

Make a table

n            |      1            2             3           4          5  

an          |      8           5             2           -1         -4

You really should just think of this as finding the equation of a line.

The slope can be used by using any two points.

How about

(1  ,  8)  and

(2 ,  5)?

------------I really like to find the slope by lining up my points and subtracting vertically and then putting second number on top of first.

That is the same as using the formula directly which is (y2-y1)/(x2-x1)

or (y1-y2)/(x1-x2) which gives you the same thing too.

Subtracting the pairs now:

(1  ,  8)

-(2 ,   5)

-----------

-1       3

So the slope is 3/-1 or -3/1 or -3.

So you can already rule out choice B.

So we have the equation is y=-3x+b

where y really represents an and x really represents n here.

You can use any point that you know is on the line to find b.

How about (1,8)?

Plug it into y=-3x+b.

y=-3x+b

8=-3(1)+b

8=-3+b

11=b

So the line is y=-3x+11

Want to confirm?

No problem:

At x=1 you have y=-3(1)+11=-3+11=8 which is first number in the list.

At x=2 you have y=-3(2)+11=-6+11=5 which is second number in the list.

At x=3 you have y=-3(3)+11=-9+11=2 which is the third number in the list.

At x=4 you have y=-3(4)+11=-12+11=-1 which is the fourth number in the list.

So we have confirmed our solution of y=-3x+11.

So the answer is an=-3n+11

You might be interested in
Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many
igor_vitrenko [27]

Answer:

She can make three shirts and will have 7/56 left.

Step-by-step explanation:

49/56-14/56=35/56 (one shirt) 35/56-14/56=21/56 (two shirts) 21/56-14/56=7/56 (three shirts)

8 0
2 years ago
1/9(-9x+18)-1/5(10+15x)
garri49 [273]

Answer:

-4x

Step-by-step explanation:

5 0
3 years ago
Find the exact value of sin G
ad-work [718]
We need to find the value of the hypotenuse in order to solve this problem.

12^2+4^2=H^2

Therefore:

H=√(144+16)

H=4√10

Now:

sin(G)=O/H=4/(4√10)

=1/(√10)

=(√10)/10
6 0
3 years ago
The distance a bike travels varies directly as the amount of time the bike has been ridden. Angela is riding her bike. If she tr
Levart [38]

Answer:

420 miles

Step-by-step explanation:

60 ×7=420

thank

4 0
3 years ago
Read 2 more answers
Find the solution for y=2x-1 y=3x+2
ziro4ka [17]
ANSWER: (-3,-7)
Set them equal to each other so, 2x-1=3x+2 to find x. You should get x= -3


Then you plug in -3 for x to find Y for either y=2x-1 or y=3x+2. I’m picking y=3x+2 so when you plug in -3 to x it will be y=3(-3)+2 = -7 . So therefore y=-7




6 0
3 years ago
Other questions:
  • have 22 more questions and need help will give brainliest to the correct answer and plz explain how u got that answer
    8·1 answer
  • Evaluate the expression below for m=350. 3.5m
    7·1 answer
  • 6/1 x 7/4 in simplest form
    14·1 answer
  • PLSS I REALLY NEED HELP ASAP
    9·1 answer
  • Simplify -8(3y + 5) - 3<br><br> A.24y + 35 <br> B.-24y - 80 <br> C.-24y - 43 <br> D.-24y - 40
    13·2 answers
  • Please help this is timed (I got an answer but i don’t know if it’s right. If not, can someone tell me?)
    12·1 answer
  • Plz solve it And show ur work plzzz giving brainliest
    6·2 answers
  • John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00
    14·2 answers
  • What is the area of this figure?<br><br> Enter your answer in the box.
    5·1 answer
  • hurry ibwill give brainlest What does Newton's second law of motion state? Every action has an equal and opposite reaction O Abo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!