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
Anna007 [38]
3 years ago
7

7. Are the ordered pairs below an arithmetic sequence or geometric

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

8. Arithmetic Progression

9. f(9) = 300

Step-by-step explanation:

Given

\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3

This gives:

d = 45 - 55 = 35 - 45 = 25 - 35

d = -10 = -10 = -10

d=-10

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

f(n) = f(1) + f(n-1)

To find f(9), we substitute 9 for n

f(9) = f(1) + f(9-1)

f(9) = f(1) + f(8)

We need to solve for f(8); substitute 8 for n

f(8) = f(1) + f(8 - 1)

f(8) = f(1) + f(7)

We need to solve for f(7); substitute 7 for n

f(7) = f(1) + f(7 - 1)

f(7) = f(1) + f(6)

We need to solve for f(6); substitute 6 for n

f(6) = f(1) + f(6 - 1)

f(6) = f(1) + f(5)

We need to solve for f(5); substitute 6 for n

f(5) = f(1) + f(5 - 1)

f(5) = f(1) + f(4)

From the function, f(4) = 25 and f(1) = 55.

So:

f(5)=55 + 25

f(5)=80

f(6) = f(1) + f(5)

f(6) = 55 + 80

f(6) = 135

f(7) = f(1) + f(6)

f(7) = 55 + 135

f(7) = 190

f(8) = f(1) + f(7)

f(8) = 55 + 190

f(8) = 245

f(9) = f(1) + f(8)

f(9) = 55 + 245

f(9) = 300

You might be interested in
Situation #3: Jamie can type 243 words in 3 minutes. How many words can<br> she type in 10 minutes?
Ratling [72]

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

3 0
3 years ago
Read 2 more answers
Factor out the coefficient of the variable.<br><br> The expression 13b−13 factored is
fiasKO [112]

Answer:

13(b-1)

Step-by-step explanation:

I think it the right one

7 0
2 years ago
At what point do the lines y=x-4 and 2x+y=2 intersect?
earnstyle [38]

Answer:

  • (2, -2)

Step-by-step explanation:

<u>Given</u>

  • y = x - 4
  • 2x + y = 2

<u>Solving by substitution</u>

  • 2x + (x - 4) = 2
  • 3x - 4 = 2
  • 3x = 6
  • x = 2

<u>Then finding y</u>

  • y = x - 4
  • y = 2 - 4
  • y = -2

Intersection point is (2, -2)

6 0
2 years ago
Which is the correct solution of the system of linear equations?
erma4kov [3.2K]
Number one is the correct one i think
8 0
3 years ago
PLZ I NEED HALP NOW LIKE RIGHT NOW
anzhelika [568]

Answer:

C. (1,0)

Step-by-step explanation:

If he starts at his house (4,-2) and goes left 3 and up 3 he ends up at C. (1,0)

5 0
3 years ago
Other questions:
  • A bag is filled with 200 silver coins and 123 gold coins. What is the theoretical probability of not pulling out a silver coin
    5·1 answer
  • Daniel has a cylindrical container with a diameter of 10 inches. He fills it with sand to a depth of 6
    13·1 answer
  • A polynomial with three terms
    8·1 answer
  • A bracelet was marked up $50 from cost, which amounts to a 20% increase. Find the original cost of the bracelet.
    5·2 answers
  • 2.5(4k+2)=12k solve for k
    7·2 answers
  • How do you Graph the function f(x) = -3(2)x on the axes
    5·2 answers
  • Solve for x.<br> 75°<br> 11x-2
    14·1 answer
  • Tell whether c = 3 is a solution of c + 7 = 10.<br> a) Yes<br> b) No
    6·2 answers
  • HELPP PLEASE ! This mapping shos a functional reationship.
    6·1 answer
  • What is the inequality shown here
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!