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
Leviafan [203]
3 years ago
9

How can you determine the difference between an arithmetic and geometric sequence if you are given the first 4 terms of the sequ

ence?
Mathematics
2 answers:
Bess [88]3 years ago
3 0
Compute successive differences of the terms.

If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.

If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.


Example of arithmetic sequence:
  1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.

Example of geometric sequence:
  1, -3, 9, -27
Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
Amanda [17]3 years ago
3 0

Sample response: First identify the pattern of the sequence. If there is a common difference between the terms, it is an arithmetic sequence. If there is a common ratio between the terms, it is a geometric sequence.

Answer on edge nuity : )

You might be interested in
Tom measured the length of the patio by counting the number of bricks counted 60 bricks each brick was 1/2ft long
DerKrebs [107]
The length of the patio is 30ft
5 0
3 years ago
Read 2 more answers
Which equation has the same value as 4 x 2/5?<br><br> big question, people!!
scoray [572]

Im not sure srry

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A horse has a water barrel in which 3/10 of a gallon is drank out of it every day. How many days will it take the horse to drink
Troyanec [42]

Answer:

140 days

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Can you please help me​
Dmitry_Shevchenko [17]

Answer:

55 degrees

Step-by-step explanation:

angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)

7 0
2 years ago
A class consisting of 4 graduate and 12 undergraduate students is random divided into 4 groups of 4. what is the probability tha
MrRissso [65]
Total = 16
Graduates = 4

\frac{4}{16}  =  \frac{1}{4}
\frac{1}{4}  \div 4  \\ =  \frac{1}{4}  \times  \frac{1}{4}  \\  =  \frac{1}{16}
\frac{1}{16}  = 0.0625
Rounding off to 2 decimal places,
Answer is 0.06

Hope this helps. - M
5 0
3 years ago
Other questions:
  • Naomi can spend up to $18.00 for a trip to the bowling alley. The cost per game is $3.25, and shoe rental for the day is $1.50.
    6·2 answers
  • The ratio of boys to girls in a class is 2:3 if there are 18 girls in the class how many boys are there
    14·1 answer
  • Nick thought of a counting number, and then he added the next counting number to it. He got the sum of 79. What was Nick's numbe
    6·1 answer
  • Eddie cut 2 2/4 feet of balsa
    6·1 answer
  • The endpoints of a diameter of a circle are A(2,1) and B(5,5). Find the area of the circle in terms of pi.
    5·1 answer
  • The table below shows the function f.
    5·1 answer
  • Find the greatest common factor 35a^7b^4c^2 and -7a^3bc^2d​
    12·1 answer
  • 3. Use the distributive property to express 64 + 24. *​
    7·1 answer
  • If the function f(2x + 3) = 3x- 8, find f -¹(x)​
    10·2 answers
  • Find the value of x. Show all work.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!