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
Radda [10]
3 years ago
6

Find the x if the sequence 3, x, 4x/3 is (a)arithmetic and (b)geometric

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

(a) When the sequence is arithmetic, sequential terms have a common difference.

... x - 3 = (4x/3) - x . . . . differences of sequential terms are equal

... (2/3)x = 3 . . . . . . . add 3-(1/3)x

... x = 9/2 . . . . . . . . . multiply by 3/2

(The arithmetic sequence is 3, 4.5, 6. The common difference is 3/2.)

(b) When the sequence is geometric, sequential terms have a common ratio.

... x/3 = (4x/3)/x . . . . . ratios of sequential terms are equal

... x^2 = 4x . . . . . multiply by 3x

... x = 4 . . . . . . . . divide by x. (the "solution" x=0 is extraneous)

(The geometric sequence is 3, 4, 16/3. The common ratio is 4/3.)


You might be interested in
Solve 0.7(5x+15)=2.9-(x+3)
Anni [7]
0.7(5x+15)=2.9 -(x+3)
3.5x+10.5=2.9-x-3
3.5x+10.5= -0.1- x
4.5x= -10.6
x= -2.3555...

Check:
0.7(5(-2.3555...) +15) = 2.9 -(x+3)
2.2555... = 2.2555...
6 0
3 years ago
What is the slope line of D?
aalyn [17]

Answer:

2/5 (rise over run)

Step-by-step explanation:

6 0
3 years ago
4.89; 4.089; 4.870; 4.881 - Put these in order from least to greatest. Your answer​
motikmotik
Answer: 4.089; 4.870; 4.881; 4.89
3 0
2 years ago
Read 2 more answers
John has less than 15 video games what is the inequality?
lidiya [134]

Answer: well, we don't have another number so i'll use variables

VG < 15

An easy way to remember what is the lesser value is to think of an alligator; the alligator wants to eat the bigger prey so in your case the bigger prey would be 15.

6 0
3 years ago
I’ll give brainliest!
iren [92.7K]

Answer:

okay ans is A(w)=w2+5w-1/8piw2

6 0
2 years ago
Other questions:
  • 2. Which answer is equivalent to "y less than 2 times 7"?
    12·1 answer
  • The volume of a cube is 1000cm^3. what is the length of an edge
    15·1 answer
  • the volume of a triangular prism is increased by a factor of 8. By what factor is the surface area increased?
    6·1 answer
  • What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000
    6·2 answers
  • Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of
    12·1 answer
  • The following equation was correctly simplified:
    5·1 answer
  • To
    10·1 answer
  • the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang
    11·1 answer
  • The first 4 terms of a 10-term geometric series are listed below. Which expression represent the sum of the series? need ASAP
    8·2 answers
  • I need help ASPA 100 PTS.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!