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
Snowcat [4.5K]
3 years ago
14

Classify each sequence as arithmetic, geometric or neither

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

Geometric sequence = ⁵/9, ⁵/3, 5, 15, 45. . .

Arithmetic sequence = 16, 11, 6, 1, -4 . . .

Step-by-step explanation:

A geometric sequence is a sequence of numbers, in which every number in the sequence after the first term is multiplied by a common ratio, which gives us the next term. The common ratio is the ratio of a term to the term before it.

On the other hand, an arithmetic sequence is a sequence of number have a common difference between each consecutive terms. This common difference is gotten by subtracting a term from the term before it.

Now let's examine each sequence given:

==>16, 11, 6, 1, -4 . . .

11 - 16 = -5

6 - 11 = -5

1 - 6 = -5

-4 - 1 = -5

This is an arithmetic sequence. The commons difference "-5" is the same

==>⁵/9, ⁵/3, 5, 15, 45. . .

⁵/3 ÷ ⁵/9 = ⁵/3 × ⁹/5 = ⁹/3 = 3

5 ÷ ⁵/3 = ⁵ × ⅗ = 3

15 ÷ 5 = 3

45 ÷ 15 = 3

The common ratio "3" is the same. This is a geometric sequence.

You might be interested in
Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the
love history [14]

Answer:

attached below

Step-by-step explanation:

6 0
3 years ago
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answ
jenyasd209 [6]
 The volume of the cone is 20.95in³
5 0
3 years ago
Read 2 more answers
Help!!! I don’t understand how to do this
lidiya [134]

Answer:

  f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}

Step-by-step explanation:

The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).

__

The derivatives alternate signs, so (-1)^k will be a factor.

The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.

The denominators have a degree that is k+1.

Putting these observations together, we can write an expression for the k-th derivative of f(x):

  \boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}

4 0
3 years ago
Solve the inequality 13 > 3x + 1
Ivenika [448]
4 > x

step by step explanation:

13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x
3 0
3 years ago
Read 2 more answers
(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 3x −
Archy [21]

Answer:

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Use synthetic substitution to find g(2) and g(-7) for the function g(x)=5x^4 - 3x^2 +6x-4
    6·1 answer
  • Which of the following would be a possible solution to the system of inequalities given below?
    15·1 answer
  • What is the length of this line? khan academy - Distance between two points
    12·1 answer
  • The tigers football team had a 2 yard loss followed by a 4 yard loss what was the total change?
    11·2 answers
  • The pottery class has 14 pounds of clay. Each student got 1/3 of a pound of clay to make a plate. How many plates did the studen
    12·2 answers
  • How do you simplify -50 1/2+ 12.3
    8·1 answer
  • Kelso is in charge of a bake sale. On each table, t, there will be a platter of 24 cookies and 2 bowls of brownies with b browni
    11·1 answer
  • Y=-x^2-12x-37 find the 1) Roots 2) Factors 3) Vertex (x,y) 4) Interception with 'Y" axis 5) Axis of Symmetry 6)Direction of Open
    5·1 answer
  • Can someone help me please
    7·2 answers
  • Calculate the sum of the first 15 terms of an arithmetic progression is the one where a3= 1 and a7=7. (I need the procedure plea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!