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
earnstyle [38]
2 years ago
12

Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmet

ic or geometric? Explain your answer.
Mathematics
1 answer:
telo118 [61]2 years ago
7 0

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\

serie does not converge.

You might be interested in
What are the domain and range of f(x) = |x – 3 | + 6?
Mandarinka [93]
Domain of f(x) is all real numbers while the range is all real numbers greater than 6.
7 0
3 years ago
Read 2 more answers
How much carpet would you need in square feet to cover a floor with dimensions of 12 feet by 15 feet?
Alisiya [41]

Answer:8

Step-by-step explanation:

Area = Length x Width.

simple room measurement

Measure the length using the distance from one wall to the opposite wall.

Measure the width from wall to wall.

Add 2 to 4 inches to each side. This accounts for waste, doors and slanting walls. It’s easy to cut a little off for a perfect fit, but it’s impossible to add without creating unsightly seams.

Multiply the length times the width or enter those into the calculator above. This is your total square footage for that room.

Repeat this process for each room.

NOT SURE HOW MU

6 0
2 years ago
Read 2 more answers
PLZ dont ignore me! I need help on this :(
uysha [10]
Answer: It’s the second one!

Explanation: The dot is open and pointing to the side of the numbers greater than -3. It has to be an open dot because it is “greater than -3” not “greater than or equal to-3”! :)
4 0
3 years ago
Consider parallelogram ABCD. Which of the following transformations will change the perimeter of the parallelogram?
jeka57 [31]

In geometry, transformation involves changing the position and/or size of a shape.

<em>The transformation that will change the size of ABCD is dilation.</em>

There are four transformations in geometry:

  • Translation
  • Reflection
  • Rotation
  • Dilation

Of all types of transformation, dilation will change the size of the shape,

The new shape will either be enlarged or reduced

<em>Either ways, the size of the shape will be altered.</em>

<em>When the size is altered, the perimeter will not remain the same.</em>

<em />

Hence. dilation will change the perimeter of ABCD.

Read more about transformations at:

brainly.com/question/11709244

4 0
2 years ago
Which point below is not on the graph of p(x) = +36- X?
natka813 [3]

Answer:

We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:

  • (-13,7)
  • (-35, 1)
  • (11,5)
  • (27,3)

If any of the points belong to the equation, then the equality will be met.

Then:

  • (-13,7) :

7 = 36 - (-13)

7 = 36 + 13

7 = 49 ❌

  • (-35, 1) :

1 = 36 - (-35)

1 = 71❌

  • (11, 5) :

5 = 36 - 11

5 = 25 ❌

  • (27,3)

3 = 36 - 27

3 = 9 ❌

None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.

3 0
2 years ago
Other questions:
  • What is the gcf of 28 and 70
    14·2 answers
  • 1. Albert has 95 buttons in his collection. His brother has more than 35 buttons. How many buttons do they have altogether? 2. T
    6·1 answer
  • Working together, it takes two computers
    7·1 answer
  • Help me please!!!!!!!!!
    13·1 answer
  • Help!! I’m sooo stuck!
    9·1 answer
  • Solve the system of equations by elimantion <br> 4x + 3y = 2 <br> 5x - 2y = 14
    15·2 answers
  • Which of the following is an odd function?
    5·1 answer
  • The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 5. Which equation describes function g
    9·2 answers
  • APML - ATAQ. Solve for x and QR<br><br> HELP ASAP!!!!! PLZZZZZ
    11·1 answer
  • [Will Mark Brainliest]
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!