find a closed form for the given sequence [0,0,0,1,2,4,8,16,.....]​

Answers

Answer 1

The closed form of the sequence [0,0,0,1,2,4,8,16,.....]​ is [tex]a_n = 2^{n-1}[/tex]

How to determine the closed form?

The sequence is given as:

[0,0,0,1,2,4,8,16,.....]​

Remove the leading zeros

[1,2,4,8,16,.....]​

The above sequence is a geometric sequence, with the following parameters:

First term, a₁ = 1Common ratio, r = 2

The closed form is calculated using:

[tex]a_n = a_1 * r^{n-1}[/tex]

Substitute the known values

[tex]a_n = 1 * 2^{n-1}[/tex]

Evaluate the product

[tex]a_n = 2^{n-1}[/tex]

Hence, the closed form of the sequence [0,0,0,1,2,4,8,16,.....]​ is [tex]a_n = 2^{n-1}[/tex]

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Related Questions

An example of people working for a social cause is when a:
A.family complains to a restaurant manager that the food and service were poor
B.group stands on the corner with signs urging people to spray or neuter their pets
C.government decides that a certain newspaper company must be shut down.
D.student writes in his journal about how much he enjoyed visiting a national park

Answers

Answer:

B. Group stands on the corner with signs urging people to spray or neuter their pets.

Explanation:

It is B because they are fighting for people to neuter their pets to probably to avoid having so many strays

You work at a computer store and a client approaches you, asking you to recommend a computer that she can buy for her son who wants to use the computer for gaming.

Answers

Answer:

just search a gaming pc and write the components then the specs of the pc

Explanation:

now gimme answer for question 4.2 please

Dalton needs to prepare a close-out report for his project. Which part of the close-out report would describe how he would plan and manage projects in the future?

Answers

The part of the close-out report would describe how he would plan and manage projects in the future is summary of project management effectiveness.

What is summary?

A summary is known to be a short statement or the restatement of key fact , mostly in a form of  a conclusion to a work.

Note that in the above case, The part of the close-out report would describe how he would plan and manage projects in the future is summary of project management effectiveness.

See the options below

Select an answer:

project highlights

major changes and risks

summary of schedule and cost performance

summary of project management effectiveness

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Question 6 of 10
In which part of the Scratch interface does a programmer combine code
blocks to build the program?
OA. Block palette
OB. Scripts area
OC. Sprite info pane
Stans

Answers

The part of the Scratch interface does a programmer combine code that blocks to build the program is Block palette.

What is block programming in Scratch?

Scratch is known to be a kind of "block-based" programming language. that uses "blocks" in programming.

Note that The block palette is where a lot of script blocks are found and as such, The part of the Scratch interface does a programmer combine code that blocks to build the program is Block palette.

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HELPPPPPPPPPPP


What is the best definition of a programming language?
OA. A complex thought process that breaks down difficult problems to
find their solutions
OB. The internal language a computer uses to communicate with other
computers and devices
C. The language that developers use to communicate with one
another about software design
OD. A language that instructs a computer how to carry out functions.

Answers

Answer:

A language that instructs a computer how to carry out functions.

Explanation:

Please select the word from the list that best fits the definition

Plagiarism

Answers

the practice of taking someone else's work or ideas and passing them off as one's own.

Answer:

You need to give context/examples/question answers.

Explanation:

As the Data Analyst, you have been named in a lawsuit against the company. Other
emplovees of the company are upset over findings from a recent company network
traffic usage report. Which of the following best describes the reason for this situation?
Capturing video of employees working using a hidden camera
Failure to publish positive comments along with employee complaints.
Publishing an incomplete list of employee suggestions for network improvements.
Failure to keep personal information collected private.

Answers

Publishing an incomplete list of employee suggestions for network improvements.

What is Data Analyst?

A Data Analyst is a professional who gathers and analyzes data across the organization in order to make informed decisions or to assist other team members and leadership in making sound decisions.

You have been named in a lawsuit against the company as the Data Analyst. Other company employees are displeased with the findings of a recent network traffic usage report.

One possible explanation is that an incomplete list of employee suggestions for network improvements was published.

Thus, this can be the reason for the given scenario.

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What type of scripts can tap in to your mobile device’s GPS location, which can then be used in a game?
geo-location scripts
geo-level scripts
heightmap scripts
evasion vector scripts

Answers

Answer:

geo-location scripts

Explanation:

see above

Karishma is setting up a wired network for a small office. Which hardware component on the computer will help in network connection, and which cables will she use for the most economical network connection?

A bridgenetwork interface cardrepeater connects a computer to a network.
Fiber-opticShielded twisted-pairUnshielded twisted-pair cables are the cheapest option for network connections.

Answers

A hardware component on the computer which will help in network connection is a network interface card.

What is a network interface card?

In Computer technology, a network interface card can be defined as a hardware component installed on a computer system which is used to connect to the Internet or create a network connection.

In this scenario, a hardware component on the computer which will help in network connection is a network interface card, and the cables she would use for the most economical network connection is an unshielded twisted pair cables because it is cheaper than the other types of cables.

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Answer:

network interface cardunshielded twisted-pair

Explain why you would use the soft the soft on/off jumper when working on the ATX system

Answers

Soft power is one that hinders a user from turning off a system when the operating system has not yet been shut down.

What is the system about?

The BIOS or operating system is known to be a kind of system that handles the work of turning the PC on or off. This is known to be soft power.

Note that the use of soft power instead of a physical switch has a lot of benefits such as it prevents a user from turning off a system when the operating system is not yet shut down.

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What allows a person to interact with web browser software?
O user interface
O file transfer protocol
O networking
O URLS

Answers

Answer:

user interface

Explanation:

Word frequencies (lists)

Answers

A list in programming is list of values for a given parameter enclosed in a square bracket and separated by commas.

Worde frequences ( lists )

A list can contain a mixture of string, integer and float values while a list can also be mutable when required to add or delete value(s) from the list.

The debugged lines of code ( file ) which can be run with zyBooks Lab 7.8 is attached below

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Review this persuasive speech outline .
.This speech includes an effective introduction using humor,several transitions and an effective conclusion with a thought provoking ending

Answers

Saying that the speech includes an effective introduction using humor, several transitions and an effective conclusion with a thought provoking ending is false.

What is persuasive speech?

This is known to be a speech that is given so as to convince a person about a thing or topic.

Note that in the excerpt, the speech does not includes an effective introduction using humor, several transitions and an effective conclusion with a thought provoking ending and thus, it is a false statement.

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How can you tell if a website is biased?

Answers

Answer:

the author has not considered other points of view.

Which of the following is classified as a workgroup information system?

Answers

The Monterey Bay Aquarium's tool that helps staff communicate, organize, plan, schedule, and track jobs is classified as a workgroup information system.

What is a workgroup information system?

A workgroup information system (WIS) can be defined as a system that is designed and developed to provide support for team members during a group decision-making process.

The main purpose of a workgroup information system (WIS) is to enhance and promote the free flow of information among the members of a team.

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define and explain cyberbullying with example​

Answers

Answer:

Definition: Cyberbullying is a form of bullying using electronics as a way to hide behind the screen

Joan got an email telling her she was ugly from Kate, that is cyberbullying.

4.13 LAB: Playlist (output linked list)
Given main(), complete the SongNode class to include the printSongInfo() method. Then write the Playlist class' printPlaylist() method to print all songs in the playlist. DO NOT print the dummy head node.

Ex: If the input is:

Stomp!
380
The Brothers Johnson
The Dude
337
Quincy Jones
You Don't Own Me
151
Lesley Gore
-1
the output is:

LIST OF SONGS
-------------
Title: Stomp!
Length: 380
Artist: The Brothers Johnson

Title: The Dude
Length: 337
Artist: Quincy Jones

Title: You Don't Own Me
Length: 151
Artist: Lesley Gore

import java.util.Scanner;

public class Playlist {

// TODO: Write method to ouptut list of songs

public static void main (String[] args) {
Scanner scnr = new Scanner(System.in);

SongNode headNode;
SongNode currNode;
SongNode lastNode;

String songTitle;
int songLength;
String songArtist;

// Front of nodes list
headNode = new SongNode();
lastNode = headNode;

// Read user input until -1 entered
songTitle = scnr.nextLine();
while (!songTitle.equals("-1")) {
songLength = scnr.nextInt();
scnr.nextLine();
songArtist = scnr.nextLine();

currNode = new SongNode(songTitle, songLength, songArtist);
lastNode.insertAfter(currNode);
lastNode = currNode;

songTitle = scnr.nextLine();
}

// Print linked list
System.out.println("LIST OF SONGS");
System.out.println("-------------");
printPlaylist(headNode);
}
}

Answers

Using the knowledge in computational language in JAVA it is possible to write a code that will organize the songs of a playlist through the titles and singers.

Writing the code in JAVA we have:

import java.util.Scanner;

public class Playlist {

public static void printPlaylist(SongNode songs){

SongNode song = songs.getNext();

while (song!=null) {

song.printSongInfo();

System.out.println();

song = song.getNext();

}

}

public static void main (String[] args) {

Scanner scnr = new Scanner(System.in);

SongNode headNode;

SongNode currNode;

SongNode lastNode;

String songTitle;

int songLength;

String songArtist;

headNode = new SongNode();

lastNode = headNode;

songTitle = scnr.nextLine();

while (!songTitle.equals("-1")) {

songLength = scnr.nextInt();

scnr.nextLine();

songArtist = scnr.nextLine();

currNode = new SongNode(songTitle, songLength, songArtist);

lastNode.insertAfter(currNode);

lastNode = currNode;

songTitle = scnr.nextLine();

}

System.out.println("LIST OF SONGS");

System.out.println("-------------");

printPlaylist(headNode);

}

}

class SongNode {

private String songTitle;

private int songLength;

private String songArtist;

private SongNode nextNodeRef;

public SongNode() {

songTitle = "";

songLength = 0;

songArtist = "";

nextNodeRef = null;

}

public SongNode(String songTitleInit, int songLengthInit, String songArtistInit) {

this.songTitle = songTitleInit;

this.songLength = songLengthInit;

this.songArtist = songArtistInit;

this.nextNodeRef = null;

}

public SongNode(String songTitleInit, int songLengthInit, String songArtistInit, SongNode nextLoc) {

this.songTitle = songTitleInit;

this.songLength = songLengthInit;

this.songArtist = songArtistInit;

this.nextNodeRef = nextLoc;

}

public void insertAfter(SongNode nodeLoc) {

SongNode tmpNext;

tmpNext = this.nextNodeRef;

this.nextNodeRef = nodeLoc;

nodeLoc.nextNodeRef = tmpNext;

}

public SongNode getNext() {

return this.nextNodeRef;

}

public void printSongInfo(){

System.out.println("Title: "+this.songTitle);

System.out.println("Length: "+this.songLength);

System.out.println("Artist: "+this.songArtist);

}

}

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What kind of AR target category makes sense for a playing card with a picture on it?
single image
cylinder
3D object
bitmap

Answers

Answer:

3D objects

Explanation:

Repeated patterns and 3D makes AR target category more sensible for playing card with picture in it. 3D usually stands for three dimensional imaging which helps in better visualisation techniques of object.

Option C

Which data value is most likely an outlier in the dataset below?

89, 100, 95, 26, 79, 85, 98, 75

Answers

The answer is A, 26. Hope this helps!

which set of possible outputs can result from a Boolean function
A. Movement or sound
B. If or then
C. True or false
D. High or low

Answers

The set of possible outputs that can result from a Boolean function is known to be True or false.

What is the output of Boolean?

In Boolean Algebra terms, that which is known to be the output will only come out as TRUE only if all of its inputs are TRUE and false if it is not.

Therefore, The set of possible outputs that can result from a Boolean function is known to be True or false.

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CALCULATE THE MISSING VALUE:


1. P=?, I = 2A, E = 12V

2. P=200W, I = 2A, E = ?

3. P= 100W, I = ?, E = 120V

4. P = 1000W,I= 10A, E = ?

5. P=150W, I = ?, E = 120V

6. P=?,I= 3A, E = 15V

7. P=300W, I = ?, E = 100V

8. What unit is to measure power?

9. What unit is to measure voltage?

10. What unit is to measure amperage?.​

Answers

Answer:

See below ~

Explanation:

Relating Power (P), Amperage (I), and Voltage (V) :

Power (P) = Voltage (V) × Amperage (I)

===========================================================

Q1

⇒ P = 2A × 12V

⇒ P = 24W

============================================================

Q2

⇒ 200W = 2A × E

⇒ E = 100V

=============================================================

Q3

⇒ 100W = I × 120V

⇒ I = 5/6

⇒ I = 0.83A

=============================================================

Q4

⇒ 1000W = 10A × E

⇒ E = 100V

=============================================================

Q5

⇒ 150W = I × 120V

⇒ I = 5/4

⇒ I = 1.25A

=============================================================

Q6

⇒ P = 3A × 15V

⇒ P = 45W

===========================================================

Q7

⇒ 300W = I × 100v

⇒ I = 3A

============================================================

Q8

⇒ The unit to measure power is Watt (W)

===========================================================

Q9

⇒ The unit to measure voltage is volt (V)

============================================================

Q10

⇒ The unit to measure amperage is Ampere (A)

Write a function where you are given: a list of numbers "nums", a number to search for "num". Return the index of "num" in the list "nums". If "num" is not found in the list, return -1 instead.

Answers

The program is an illustration of functions; functions are used to represent collection of named statements

The program in Python

The function in Python where comments are used to explain each line is as follows:

#This defines the function

def checkList(nums,num):

   #This checks if num exists in nums

   if num in nums:

       #If yes, this returns the index of num

       return nums.index(num)

   #If otherwise, this returns -1

   return -1

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To what extent do preexisting personal biases affect representation in new media

Answers

Answer:

Below

Explanation:

I believe that it's a bit of a case by case scenario. However, personal biases will inevitably show throughout any sort of writing or other presenting within media. That's why you should always be careful about what you read and believe is true

2 what is deep learning?

Answers

Answer:

a type of machine learning based on artificial neural networks in which multiple layers of processing are used to extract progressively higher level features from data.

Draw a Hierarchical input process output ( HIPO ) chart to represent a high - level view of the functions of the proposed system .​

Answers

The format to use in drawing the Hierarchical input process output  chart to show a high - level view of the functions of the proposed system is given in the image attached.

What is hierarchical input process output?

An HIPO model is known to be a form of hierarchical input process output model that helps in  systems analysis design and also in documentation .

Note that it is often used for depicting the modules of a system based on the use of hierarchy and for saving each module and thus by following the method used in the image attached, one can draw a Hierarchical input process output ( HIPO ) chart to represent a high - level view of the functions of the proposed system.​

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A collection of modules and packages that can be imported into a program is called

Answers

Answer:

library

Explanation:

class - used to create objects

documentation - provides information on the program's workings

function - this is part of a module

write a pseducode that will ask the user to enter the amount of a purchase. The program should then compute that state and provisional sales tax

Answers

The pseudocode of the program is simply a prototype of the actual program

How to write the pseudocode?

The pseudocode that does the requirements in the question is as follows:

StartGet Input for amount of purchaseCompute the state tax: sales tax = sales tax percentage * amountCompute the provisional sales tax: provisional sales tax = provisional sales tax percentage * amountPrint the taxes

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On a leading-trailing system technician A says that both shoes do equal work when stopping while going in reverse. Technician B says that the shoe facing the rear does most of the work when stopping in reverse. Who is right?

Answers

Based on the scenario above about the leading-trailing system Both technician A and B are incorrect.

How many brake shoes function?

There are known to be two shoes function that are said to be working a way where both become either the trailing shoe or leading shoe based on whether the vehicle is moving forward or backward.

Therefore we can say that, Based on the scenario above about the leading-trailing system Both technician A and B are incorrect.

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Why does the media play such an important role in our personal freedom? Select 3 options.

It holds government accountable.
It holds government accountable.

It promotes self-expression.
It promotes self-expression.

It spreads government’s views.
It spreads government’s views.

It keeps us informed.
It keeps us informed.

It keeps us entertained.
It keeps us entertained.

Answers

Answer:

It promotes self-expression

It holds the government accountable

It keeps us informed

Explanation:

I got them right Ed

The media play such an important role in our personal freedom because of the following:

A. It holds the government accountable.

B. It promotes self-expression.

D. It keeps us informed.

What is media?

The media is a center of communication or transfer of information throughout the world. Its main aim is to collect information from the world and provide it to the citizens.

Because it enables the public expression of one's personal opinion about a subject, the media is crucial to freedom.

Media plays an important role in freedom because it helps in expressing a personal view about something in front of people. It gives us information about the world, and what is happening in the government, and other current situations.

Thus, the correct options are:

A. It holds the government accountable.

B. It promotes self-expression.

D. It keeps us informed.

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Regarding k-NN algorithm which of the following statements is true?

Select the best answer

Select one:

A.
KNN could be used for both classification and regression problems


B.
All answers are correct


C.
It makes sense to use KNN, in cases where the data changes frequently and the prediction time is not important


D.
It does not make sense to use very high values of K (number of neighbors)

Answers

Answer:

A

Explanation:

KNN could be used for both classification and regression problems

Other Questions
Why do you think the federal governments budget is broken down in this way? Do you think government leaders should make different choices about how to spend money? discuss how effective you think a letter is as aform of argument (b) Glycogen may be broken down to form glucose.Fig.2.2 shows region X from the glycogen molecule in Fig. 2.1 in more detail.Draw an annotated diagram in the space provided to explain how a glucose molecule isformed from the free end of the glycogen molecule shown in Fig.2.2 what equation is equivalent to 2^3^x =10 40 points please help!What is the relationship between the poem's structure (stanzas and rhyme scheme) and its meaning? How does the structure organize the poem's ideas? What is the idea found in each stanza? A family has a monthly income of $3912. Their monthly expenditures are as shown in the graph below.Rent 21%Food 24%Transportation 11%Other Expenses 18%Savings 26%How much money does the family save in a month? Match the following words with their definitions.1 . depressionmeasurement of distance in degrees north or south of the equator2 . steppea large, high plain3 . equatora narrow strip of land connecting other lands4 . plateauthe study of the earth5 . isthmusa low place6 . longitudemeasurement of distance in degrees east or west of the prime meridian7 . geographyimaginary line running around the center of the earth8 . latitudea vast, treeless plain Find the volume of the right circular cone with radius 6 cm, height 7 cm[tex]( \pi = \frac{22}{7} )[/tex] What was a cause of the economic depressions in the late 1800s?OA. There was plenty of money but not enough goods.B. There was too much money and not enough farmers.OC. There were plenty of goods but not enough money.D. There were too many people and not enough jobs. Data collected at checkout counters in a grocery store is an example of: Keiko surveyed people with cell phones. Ages in years = a Texts they send per day = t He drew a best-fit line and determined its equation. Evaluate how many texts a 15 year old would send each day according to Keiko's trend line. Cuestin 9 of 10Someone who is applying for a loan from a bank can expect the bank to:A. request proof that the person has graduated from a good college.B. check the person's credit history to make sure he or she paysdebts on time.OC. investigate the person's parents to see if they were financiallyresponsible.D. demand that the person close all of his or her accounts atcompeting banks. What is the mass of 3.35 mol Hg(103)2? (3 points) 1,700 g1,840 g1,960 g2,110 g 9x?=3/2+ 3/2 + 3/2 10 pts for correct answer In the Old Man and The Sea, how does the setting of the ocean affect the story?Select the two correct answers.- Readers learn about Santiago's respect for the animals in the sea.- It highlights the dangers fishermen face from predators like sharks.- It gives Santiago the opportunity to spend time alone in a peaceful place.- Readers understand how more easily storms arise on the sea than on land. 9.8765 plus what has a 10 in the front True or false: the civil rights act of 1964, which banned segregation in public accommodations such as restaurants and movie theaters, is based on congress's power to regulate commerce. why morden cell are difficult to study compared to premative cell? In the solid figure below, what is the volume of the bottom section of the figure?48243612 What is the central idea of the third quatrain? if you see my love aging, work against it. do not be lazy; we are all running out of time. make fun of time, and turn people against it. write something to ridicule my loves wrinkles.